Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 121.22 | ||
Character | \(\chi\) | \(=\) | 225.121 |
Dual form | 225.2.q.a.106.22 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.62705 | − | 0.345839i | 1.15050 | − | 0.244545i | 0.407091 | − | 0.913388i | \(-0.366543\pi\) |
0.743404 | + | 0.668842i | \(0.233210\pi\) | |||||||
\(3\) | 1.73185 | + | 0.0263451i | 0.999884 | + | 0.0152104i | ||||
\(4\) | 0.700584 | − | 0.311920i | 0.350292 | − | 0.155960i | ||||
\(5\) | −0.380412 | − | 2.20347i | −0.170126 | − | 0.985422i | ||||
\(6\) | 2.82691 | − | 0.556077i | 1.15408 | − | 0.227018i | ||||
\(7\) | 0.694163 | + | 1.20233i | 0.262369 | + | 0.454436i | 0.966871 | − | 0.255266i | \(-0.0821629\pi\) |
−0.704502 | + | 0.709702i | \(0.748830\pi\) | |||||||
\(8\) | −1.65942 | + | 1.20564i | −0.586694 | + | 0.426258i | ||||
\(9\) | 2.99861 | + | 0.0912516i | 0.999537 | + | 0.0304172i | ||||
\(10\) | −1.38100 | − | 3.45359i | −0.436709 | − | 1.09212i | ||||
\(11\) | −4.44787 | + | 0.945423i | −1.34108 | + | 0.285056i | −0.821912 | − | 0.569615i | \(-0.807092\pi\) |
−0.519170 | + | 0.854671i | \(0.673759\pi\) | |||||||
\(12\) | 1.22152 | − | 0.521742i | 0.352624 | − | 0.150614i | ||||
\(13\) | −0.664131 | − | 0.141165i | −0.184197 | − | 0.0391522i | 0.114890 | − | 0.993378i | \(-0.463349\pi\) |
−0.299086 | + | 0.954226i | \(0.596682\pi\) | |||||||
\(14\) | 1.54525 | + | 1.71617i | 0.412985 | + | 0.458666i | ||||
\(15\) | −0.600766 | − | 3.82611i | −0.155117 | − | 0.987896i | ||||
\(16\) | −3.30929 | + | 3.67534i | −0.827323 | + | 0.918835i | ||||
\(17\) | −1.73545 | + | 1.26088i | −0.420909 | + | 0.305808i | −0.778003 | − | 0.628260i | \(-0.783767\pi\) |
0.357095 | + | 0.934068i | \(0.383767\pi\) | |||||||
\(18\) | 4.91044 | − | 0.888568i | 1.15740 | − | 0.209437i | ||||
\(19\) | 5.56870 | − | 4.04590i | 1.27755 | − | 0.928192i | 0.278071 | − | 0.960560i | \(-0.410305\pi\) |
0.999476 | + | 0.0323680i | \(0.0103049\pi\) | |||||||
\(20\) | −0.953818 | − | 1.42506i | −0.213280 | − | 0.318653i | ||||
\(21\) | 1.17051 | + | 2.10054i | 0.255427 | + | 0.458375i | ||||
\(22\) | −6.90992 | + | 3.07649i | −1.47320 | + | 0.655911i | ||||
\(23\) | −0.0716950 | − | 0.0796254i | −0.0149494 | − | 0.0166030i | 0.735624 | − | 0.677390i | \(-0.236889\pi\) |
−0.750573 | + | 0.660787i | \(0.770223\pi\) | |||||||
\(24\) | −2.90563 | + | 2.04427i | −0.593110 | + | 0.417285i | ||||
\(25\) | −4.71057 | + | 1.67645i | −0.942115 | + | 0.335291i | ||||
\(26\) | −1.12939 | −0.221492 | ||||||||
\(27\) | 5.19074 | + | 0.237033i | 0.998959 | + | 0.0456170i | ||||
\(28\) | 0.861350 | + | 0.625807i | 0.162780 | + | 0.118266i | ||||
\(29\) | −0.214650 | + | 2.04226i | −0.0398595 | + | 0.379238i | 0.956348 | + | 0.292230i | \(0.0943973\pi\) |
−0.996208 | + | 0.0870081i | \(0.972269\pi\) | |||||||
\(30\) | −2.30069 | − | 6.01748i | −0.420047 | − | 1.09864i | ||||
\(31\) | 0.675922 | + | 6.43096i | 0.121399 | + | 1.15504i | 0.870358 | + | 0.492419i | \(0.163887\pi\) |
−0.748959 | + | 0.662616i | \(0.769446\pi\) | |||||||
\(32\) | −2.06213 | + | 3.57172i | −0.364537 | + | 0.631397i | ||||
\(33\) | −7.72795 | + | 1.52015i | −1.34526 | + | 0.264625i | ||||
\(34\) | −2.38760 | + | 2.65170i | −0.409470 | + | 0.454762i | ||||
\(35\) | 2.38522 | − | 1.98695i | 0.403176 | − | 0.335856i | ||||
\(36\) | 2.12924 | − | 0.871398i | 0.354874 | − | 0.145233i | ||||
\(37\) | −0.886060 | − | 2.72701i | −0.145667 | − | 0.448318i | 0.851429 | − | 0.524470i | \(-0.175737\pi\) |
−0.997096 | + | 0.0761520i | \(0.975737\pi\) | |||||||
\(38\) | 7.66130 | − | 8.50874i | 1.24283 | − | 1.38030i | ||||
\(39\) | −1.14646 | − | 0.261974i | −0.183580 | − | 0.0419494i | ||||
\(40\) | 3.28786 | + | 3.19785i | 0.519856 | + | 0.505624i | ||||
\(41\) | −5.31403 | − | 1.12953i | −0.829913 | − | 0.176403i | −0.226681 | − | 0.973969i | \(-0.572787\pi\) |
−0.603232 | + | 0.797566i | \(0.706121\pi\) | |||||||
\(42\) | 2.63092 | + | 3.01286i | 0.405960 | + | 0.464895i | ||||
\(43\) | −0.613014 | − | 1.06177i | −0.0934837 | − | 0.161919i | 0.815491 | − | 0.578770i | \(-0.196467\pi\) |
−0.908975 | + | 0.416851i | \(0.863134\pi\) | |||||||
\(44\) | −2.82121 | + | 2.04973i | −0.425313 | + | 0.309008i | ||||
\(45\) | −0.939638 | − | 6.64207i | −0.140073 | − | 0.990141i | ||||
\(46\) | −0.144189 | − | 0.104759i | −0.0212595 | − | 0.0154459i | ||||
\(47\) | 1.23665 | − | 11.7660i | 0.180385 | − | 1.71624i | −0.412501 | − | 0.910957i | \(-0.635345\pi\) |
0.592885 | − | 0.805287i | \(-0.297989\pi\) | |||||||
\(48\) | −5.82802 | + | 6.27796i | −0.841203 | + | 0.906145i | ||||
\(49\) | 2.53627 | − | 4.39296i | 0.362325 | − | 0.627565i | ||||
\(50\) | −7.08454 | + | 4.35677i | −1.00190 | + | 0.616141i | ||||
\(51\) | −3.03876 | + | 2.13793i | −0.425512 | + | 0.299371i | ||||
\(52\) | −0.509312 | + | 0.108258i | −0.0706289 | + | 0.0150126i | ||||
\(53\) | −1.07586 | − | 0.781661i | −0.147781 | − | 0.107369i | 0.511438 | − | 0.859320i | \(-0.329113\pi\) |
−0.659219 | + | 0.751951i | \(0.729113\pi\) | |||||||
\(54\) | 8.52756 | − | 1.40950i | 1.16045 | − | 0.191809i | ||||
\(55\) | 3.77524 | + | 9.44110i | 0.509053 | + | 1.27304i | ||||
\(56\) | −2.60148 | − | 1.15825i | −0.347638 | − | 0.154778i | ||||
\(57\) | 9.75074 | − | 6.86018i | 1.29152 | − | 0.908653i | ||||
\(58\) | 0.357048 | + | 3.39709i | 0.0468827 | + | 0.446059i | ||||
\(59\) | 1.69407 | + | 0.360086i | 0.220549 | + | 0.0468792i | 0.316861 | − | 0.948472i | \(-0.397371\pi\) |
−0.0963115 | + | 0.995351i | \(0.530705\pi\) | |||||||
\(60\) | −1.61433 | − | 2.49312i | −0.208409 | − | 0.321860i | ||||
\(61\) | 3.69259 | − | 0.784884i | 0.472788 | − | 0.100494i | 0.0346452 | − | 0.999400i | \(-0.488970\pi\) |
0.438142 | + | 0.898906i | \(0.355637\pi\) | |||||||
\(62\) | 3.32384 | + | 10.2297i | 0.422128 | + | 1.29918i | ||||
\(63\) | 1.97181 | + | 3.66865i | 0.248425 | + | 0.462207i | ||||
\(64\) | 0.936638 | − | 2.88268i | 0.117080 | − | 0.360334i | ||||
\(65\) | −0.0584104 | + | 1.51709i | −0.00724492 | + | 0.188172i | ||||
\(66\) | −12.0480 | + | 5.14599i | −1.48301 | + | 0.633427i | ||||
\(67\) | 1.48608 | + | 14.1391i | 0.181553 | + | 1.72737i | 0.583854 | + | 0.811858i | \(0.301544\pi\) |
−0.402301 | + | 0.915508i | \(0.631789\pi\) | |||||||
\(68\) | −0.822536 | + | 1.42467i | −0.0997472 | + | 0.172767i | ||||
\(69\) | −0.122067 | − | 0.139788i | −0.0146952 | − | 0.0168285i | ||||
\(70\) | 3.19370 | − | 4.05776i | 0.381721 | − | 0.484995i | ||||
\(71\) | −10.9600 | − | 7.96294i | −1.30072 | − | 0.945027i | −0.300755 | − | 0.953701i | \(-0.597239\pi\) |
−0.999962 | + | 0.00867479i | \(0.997239\pi\) | |||||||
\(72\) | −5.08598 | + | 3.46382i | −0.599388 | + | 0.408215i | ||||
\(73\) | −1.83085 | + | 5.63478i | −0.214285 | + | 0.659501i | 0.784919 | + | 0.619599i | \(0.212705\pi\) |
−0.999204 | + | 0.0399023i | \(0.987295\pi\) | |||||||
\(74\) | −2.38477 | − | 4.13054i | −0.277224 | − | 0.480166i | ||||
\(75\) | −8.20217 | + | 2.77927i | −0.947106 | + | 0.320922i | ||||
\(76\) | 2.63935 | − | 4.57148i | 0.302754 | − | 0.524385i | ||||
\(77\) | −4.22425 | − | 4.69151i | −0.481398 | − | 0.534647i | ||||
\(78\) | −1.95594 | − | 0.0297540i | −0.221466 | − | 0.00336897i | ||||
\(79\) | 0.938478 | − | 8.92902i | 0.105587 | − | 1.00459i | −0.805561 | − | 0.592513i | \(-0.798136\pi\) |
0.911148 | − | 0.412080i | \(-0.135198\pi\) | |||||||
\(80\) | 9.35740 | + | 5.89378i | 1.04619 | + | 0.658945i | ||||
\(81\) | 8.98335 | + | 0.547256i | 0.998150 | + | 0.0608062i | ||||
\(82\) | −9.03682 | −0.997950 | ||||||||
\(83\) | 16.5673 | + | 7.37623i | 1.81850 | + | 0.809647i | 0.948653 | + | 0.316320i | \(0.102447\pi\) |
0.869844 | + | 0.493327i | \(0.164219\pi\) | |||||||
\(84\) | 1.47524 | + | 1.10650i | 0.160962 | + | 0.120729i | ||||
\(85\) | 3.43850 | + | 3.34436i | 0.372958 | + | 0.362747i | ||||
\(86\) | −1.36460 | − | 1.51555i | −0.147149 | − | 0.163426i | ||||
\(87\) | −0.425545 | + | 3.53123i | −0.0456233 | + | 0.378588i | ||||
\(88\) | 6.24105 | − | 6.93138i | 0.665298 | − | 0.738888i | ||||
\(89\) | 2.33361 | − | 7.18212i | 0.247363 | − | 0.761304i | −0.747876 | − | 0.663838i | \(-0.768926\pi\) |
0.995239 | − | 0.0974656i | \(-0.0310736\pi\) | |||||||
\(90\) | −3.82592 | − | 10.4820i | −0.403288 | − | 1.10490i | ||||
\(91\) | −0.291288 | − | 0.896494i | −0.0305353 | − | 0.0939781i | ||||
\(92\) | −0.0750652 | − | 0.0334212i | −0.00782608 | − | 0.00348440i | ||||
\(93\) | 1.00117 | + | 11.1553i | 0.103817 | + | 1.15675i | ||||
\(94\) | −2.05704 | − | 19.5715i | −0.212168 | − | 2.01864i | ||||
\(95\) | −11.0334 | − | 10.7314i | −1.13200 | − | 1.10101i | ||||
\(96\) | −3.66541 | + | 6.13136i | −0.374099 | + | 0.625779i | ||||
\(97\) | −1.13640 | + | 10.8121i | −0.115384 | + | 1.09781i | 0.771633 | + | 0.636068i | \(0.219440\pi\) |
−0.887017 | + | 0.461737i | \(0.847226\pi\) | |||||||
\(98\) | 2.60738 | − | 8.02469i | 0.263385 | − | 0.810616i | ||||
\(99\) | −13.4237 | + | 2.42908i | −1.34913 | + | 0.244132i | ||||
\(100\) | −2.77723 | + | 2.64382i | −0.277723 | + | 0.264382i | ||||
\(101\) | −6.10657 | − | 10.5769i | −0.607626 | − | 1.05244i | −0.991630 | − | 0.129108i | \(-0.958788\pi\) |
0.384004 | − | 0.923331i | \(-0.374545\pi\) | |||||||
\(102\) | −4.20482 | + | 4.52944i | −0.416340 | + | 0.448481i | ||||
\(103\) | −0.775688 | + | 0.345359i | −0.0764309 | + | 0.0340292i | −0.444596 | − | 0.895731i | \(-0.646653\pi\) |
0.368165 | + | 0.929760i | \(0.379986\pi\) | |||||||
\(104\) | 1.27227 | − | 0.566450i | 0.124756 | − | 0.0555450i | ||||
\(105\) | 4.18320 | − | 3.37826i | 0.408238 | − | 0.329684i | ||||
\(106\) | −2.02081 | − | 0.899723i | −0.196278 | − | 0.0873888i | ||||
\(107\) | 19.0764 | 1.84419 | 0.922095 | − | 0.386964i | \(-0.126476\pi\) | ||||
0.922095 | + | 0.386964i | \(0.126476\pi\) | |||||||
\(108\) | 3.71049 | − | 1.45304i | 0.357042 | − | 0.139818i | ||||
\(109\) | 4.05014 | + | 12.4651i | 0.387933 | + | 1.19394i | 0.934330 | + | 0.356409i | \(0.115999\pi\) |
−0.546397 | + | 0.837526i | \(0.684001\pi\) | |||||||
\(110\) | 9.40759 | + | 14.0555i | 0.896978 | + | 1.34014i | ||||
\(111\) | −1.46268 | − | 4.74612i | −0.138831 | − | 0.450482i | ||||
\(112\) | −6.71614 | − | 1.42756i | −0.634616 | − | 0.134892i | ||||
\(113\) | 6.81089 | + | 1.44770i | 0.640714 | + | 0.136188i | 0.516802 | − | 0.856105i | \(-0.327122\pi\) |
0.123913 | + | 0.992293i | \(0.460456\pi\) | |||||||
\(114\) | 13.4924 | − | 14.5340i | 1.26368 | − | 1.36124i | ||||
\(115\) | −0.148179 | + | 0.188268i | −0.0138177 | + | 0.0175561i | ||||
\(116\) | 0.486642 | + | 1.49773i | 0.0451835 | + | 0.139061i | ||||
\(117\) | −1.97859 | − | 0.483903i | −0.182921 | − | 0.0447369i | ||||
\(118\) | 2.88087 | 0.265205 | ||||||||
\(119\) | −2.72067 | − | 1.21132i | −0.249404 | − | 0.111042i | ||||
\(120\) | 5.60983 | + | 5.62481i | 0.512105 | + | 0.513473i | ||||
\(121\) | 8.84069 | − | 3.93613i | 0.803699 | − | 0.357830i | ||||
\(122\) | 5.73657 | − | 2.55409i | 0.519365 | − | 0.231236i | ||||
\(123\) | −9.17336 | − | 2.09618i | −0.827134 | − | 0.189006i | ||||
\(124\) | 2.47949 | + | 4.29460i | 0.222665 | + | 0.385666i | ||||
\(125\) | 5.48598 | + | 9.74187i | 0.490681 | + | 0.871339i | ||||
\(126\) | 4.47699 | + | 5.28714i | 0.398842 | + | 0.471016i | ||||
\(127\) | 6.85641 | − | 21.1019i | 0.608408 | − | 1.87249i | 0.137000 | − | 0.990571i | \(-0.456254\pi\) |
0.471407 | − | 0.881916i | \(-0.343746\pi\) | |||||||
\(128\) | 1.38922 | − | 13.2175i | 0.122791 | − | 1.16828i | ||||
\(129\) | −1.03368 | − | 1.85498i | −0.0910101 | − | 0.163322i | ||||
\(130\) | 0.429635 | + | 2.48858i | 0.0376814 | + | 0.218263i | ||||
\(131\) | 1.21480 | + | 11.5581i | 0.106138 | + | 1.00983i | 0.909885 | + | 0.414862i | \(0.136170\pi\) |
−0.803747 | + | 0.594972i | \(0.797163\pi\) | |||||||
\(132\) | −4.93991 | + | 3.47550i | −0.429964 | + | 0.302503i | ||||
\(133\) | 8.73007 | + | 3.88688i | 0.756993 | + | 0.337035i | ||||
\(134\) | 7.30778 | + | 22.4910i | 0.631296 | + | 1.94293i | ||||
\(135\) | −1.45233 | − | 11.5278i | −0.124996 | − | 0.992157i | ||||
\(136\) | 1.35968 | − | 4.18466i | 0.116591 | − | 0.358832i | ||||
\(137\) | −11.0828 | + | 12.3087i | −0.946869 | + | 1.05160i | 0.0517289 | + | 0.998661i | \(0.483527\pi\) |
−0.998598 | + | 0.0529430i | \(0.983140\pi\) | |||||||
\(138\) | −0.246953 | − | 0.185226i | −0.0210221 | − | 0.0157675i | ||||
\(139\) | −11.2616 | − | 12.5073i | −0.955198 | − | 1.06085i | −0.998090 | − | 0.0617748i | \(-0.980324\pi\) |
0.0428925 | − | 0.999080i | \(-0.486343\pi\) | |||||||
\(140\) | 1.05128 | − | 2.13602i | 0.0888494 | − | 0.180527i | ||||
\(141\) | 2.45168 | − | 20.3443i | 0.206468 | − | 1.71330i | ||||
\(142\) | −20.5864 | − | 9.16565i | −1.72757 | − | 0.769164i | ||||
\(143\) | 3.08743 | 0.258184 | ||||||||
\(144\) | −10.2587 | + | 10.7189i | −0.854888 | + | 0.893245i | ||||
\(145\) | 4.58172 | − | 0.303925i | 0.380491 | − | 0.0252396i | ||||
\(146\) | −1.03015 | + | 9.80123i | −0.0852559 | + | 0.811155i | ||||
\(147\) | 4.50818 | − | 7.54113i | 0.371829 | − | 0.621982i | ||||
\(148\) | −1.47137 | − | 1.63412i | −0.120946 | − | 0.134324i | ||||
\(149\) | −7.97992 | + | 13.8216i | −0.653740 | + | 1.13231i | 0.328468 | + | 0.944515i | \(0.393468\pi\) |
−0.982208 | + | 0.187796i | \(0.939865\pi\) | |||||||
\(150\) | −12.3841 | + | 7.35863i | −1.01116 | + | 0.600830i | ||||
\(151\) | −4.20769 | − | 7.28793i | −0.342417 | − | 0.593084i | 0.642464 | − | 0.766316i | \(-0.277912\pi\) |
−0.984881 | + | 0.173232i | \(0.944579\pi\) | |||||||
\(152\) | −4.36292 | + | 13.4277i | −0.353880 | + | 1.08913i | ||||
\(153\) | −5.31900 | + | 3.62253i | −0.430016 | + | 0.292864i | ||||
\(154\) | −8.49556 | − | 6.17239i | −0.684592 | − | 0.497385i | ||||
\(155\) | 13.9133 | − | 3.93579i | 1.11754 | − | 0.316130i | ||||
\(156\) | −0.884904 | + | 0.174068i | −0.0708490 | + | 0.0139366i | ||||
\(157\) | 0.0425739 | − | 0.0737402i | 0.00339777 | − | 0.00588511i | −0.864322 | − | 0.502940i | \(-0.832252\pi\) |
0.867719 | + | 0.497055i | \(0.165585\pi\) | |||||||
\(158\) | −1.56106 | − | 14.8525i | −0.124191 | − | 1.18160i | ||||
\(159\) | −1.84264 | − | 1.38206i | −0.146131 | − | 0.109605i | ||||
\(160\) | 8.65465 | + | 3.18513i | 0.684210 | + | 0.251806i | ||||
\(161\) | 0.0459676 | − | 0.141474i | 0.00362275 | − | 0.0111497i | ||||
\(162\) | 14.8056 | − | 2.21638i | 1.16324 | − | 0.174136i | ||||
\(163\) | 3.81218 | + | 11.7327i | 0.298593 | + | 0.918974i | 0.981991 | + | 0.188928i | \(0.0605013\pi\) |
−0.683398 | + | 0.730046i | \(0.739499\pi\) | |||||||
\(164\) | −4.07525 | + | 0.866222i | −0.318224 | + | 0.0676406i | ||||
\(165\) | 6.28942 | + | 16.4500i | 0.489630 | + | 1.28063i | ||||
\(166\) | 29.5067 | + | 6.27185i | 2.29017 | + | 0.486790i | ||||
\(167\) | 0.700044 | + | 6.66047i | 0.0541710 | + | 0.515403i | 0.987639 | + | 0.156743i | \(0.0500994\pi\) |
−0.933468 | + | 0.358660i | \(0.883234\pi\) | |||||||
\(168\) | −4.47486 | − | 2.07446i | −0.345243 | − | 0.160048i | ||||
\(169\) | −11.4549 | − | 5.10007i | −0.881150 | − | 0.392313i | ||||
\(170\) | 6.75121 | + | 4.25227i | 0.517794 | + | 0.326134i | ||||
\(171\) | 17.0676 | − | 11.6239i | 1.30519 | − | 0.888904i | ||||
\(172\) | −0.760656 | − | 0.552649i | −0.0579995 | − | 0.0421391i | ||||
\(173\) | −11.2482 | + | 2.39087i | −0.855181 | + | 0.181774i | −0.614585 | − | 0.788851i | \(-0.710676\pi\) |
−0.240596 | + | 0.970625i | \(0.577343\pi\) | |||||||
\(174\) | 0.528857 | + | 5.89265i | 0.0400926 | + | 0.446721i | ||||
\(175\) | −5.28555 | − | 4.49991i | −0.399550 | − | 0.340161i | ||||
\(176\) | 11.2445 | − | 19.4761i | 0.847588 | − | 1.46807i | ||||
\(177\) | 2.92439 | + | 0.668246i | 0.219811 | + | 0.0502284i | ||||
\(178\) | 1.31304 | − | 12.4927i | 0.0984162 | − | 0.936368i | ||||
\(179\) | −3.97320 | − | 2.88670i | −0.296971 | − | 0.215762i | 0.429315 | − | 0.903155i | \(-0.358755\pi\) |
−0.726286 | + | 0.687393i | \(0.758755\pi\) | |||||||
\(180\) | −2.73009 | − | 4.36024i | −0.203489 | − | 0.324993i | ||||
\(181\) | −1.69167 | + | 1.22907i | −0.125741 | + | 0.0913562i | −0.648878 | − | 0.760892i | \(-0.724762\pi\) |
0.523137 | + | 0.852248i | \(0.324762\pi\) | |||||||
\(182\) | −0.783983 | − | 1.35790i | −0.0581127 | − | 0.100654i | ||||
\(183\) | 6.41569 | − | 1.26202i | 0.474261 | − | 0.0932912i | ||||
\(184\) | 0.214972 | + | 0.0456937i | 0.0158479 | + | 0.00336858i | ||||
\(185\) | −5.67183 | + | 2.98980i | −0.417001 | + | 0.219814i | ||||
\(186\) | 5.48688 | + | 17.8039i | 0.402318 | + | 1.30545i | ||||
\(187\) | 6.52699 | − | 7.24896i | 0.477301 | − | 0.530096i | ||||
\(188\) | −2.80367 | − | 8.62880i | −0.204478 | − | 0.629320i | ||||
\(189\) | 3.31823 | + | 6.40550i | 0.241366 | + | 0.465932i | ||||
\(190\) | −21.6632 | − | 13.6446i | −1.57161 | − | 0.989886i | ||||
\(191\) | 6.87172 | − | 7.63182i | 0.497220 | − | 0.552219i | −0.441337 | − | 0.897341i | \(-0.645496\pi\) |
0.938558 | + | 0.345122i | \(0.112162\pi\) | |||||||
\(192\) | 1.69806 | − | 4.96769i | 0.122547 | − | 0.358512i | ||||
\(193\) | 0.879316 | − | 1.52302i | 0.0632945 | − | 0.109629i | −0.832642 | − | 0.553812i | \(-0.813173\pi\) |
0.895936 | + | 0.444183i | \(0.146506\pi\) | |||||||
\(194\) | 1.89028 | + | 17.9848i | 0.135714 | + | 1.29124i | ||||
\(195\) | −0.141126 | + | 2.62584i | −0.0101062 | + | 0.188040i | ||||
\(196\) | 0.406622 | − | 3.86875i | 0.0290444 | − | 0.276339i | ||||
\(197\) | 1.28192 | + | 0.931373i | 0.0913333 | + | 0.0663576i | 0.632515 | − | 0.774548i | \(-0.282023\pi\) |
−0.541181 | + | 0.840906i | \(0.682023\pi\) | |||||||
\(198\) | −21.0009 | + | 8.59467i | −1.49247 | + | 0.610797i | ||||
\(199\) | −4.83781 | −0.342943 | −0.171471 | − | 0.985189i | \(-0.554852\pi\) | ||||
−0.171471 | + | 0.985189i | \(0.554852\pi\) | |||||||
\(200\) | 5.79563 | − | 8.46120i | 0.409813 | − | 0.598297i | ||||
\(201\) | 2.20117 | + | 24.5260i | 0.155259 | + | 1.72993i | ||||
\(202\) | −13.5936 | − | 15.0972i | −0.956441 | − | 1.06224i | ||||
\(203\) | −2.60446 | + | 1.15958i | −0.182798 | + | 0.0813867i | ||||
\(204\) | −1.46204 | + | 2.44565i | −0.102364 | + | 0.171230i | ||||
\(205\) | −0.467370 | + | 12.1390i | −0.0326425 | + | 0.847825i | ||||
\(206\) | −1.14264 | + | 0.830178i | −0.0796117 | + | 0.0578413i | ||||
\(207\) | −0.207720 | − | 0.245308i | −0.0144375 | − | 0.0170501i | ||||
\(208\) | 2.71663 | − | 1.97375i | 0.188365 | − | 0.136855i | ||||
\(209\) | −20.9437 | + | 23.2604i | −1.44871 | + | 1.60895i | ||||
\(210\) | 5.63792 | − | 6.94330i | 0.389053 | − | 0.479133i | ||||
\(211\) | −2.87300 | − | 3.19079i | −0.197785 | − | 0.219663i | 0.636091 | − | 0.771614i | \(-0.280550\pi\) |
−0.833877 | + | 0.551951i | \(0.813884\pi\) | |||||||
\(212\) | −0.997550 | − | 0.212036i | −0.0685120 | − | 0.0145627i | ||||
\(213\) | −18.7714 | − | 14.0794i | −1.28619 | − | 0.964702i | ||||
\(214\) | 31.0383 | − | 6.59739i | 2.12173 | − | 0.450988i | ||||
\(215\) | −2.10638 | + | 1.75467i | −0.143654 | + | 0.119667i | ||||
\(216\) | −8.89941 | + | 5.86483i | −0.605528 | + | 0.399051i | ||||
\(217\) | −7.26291 | + | 5.27682i | −0.493039 | + | 0.358214i | ||||
\(218\) | 10.9007 | + | 18.8805i | 0.738287 | + | 1.27875i | ||||
\(219\) | −3.31921 | + | 9.71036i | −0.224291 | + | 0.656165i | ||||
\(220\) | 5.58974 | + | 5.43671i | 0.376860 | + | 0.366543i | ||||
\(221\) | 1.33056 | − | 0.592403i | 0.0895031 | − | 0.0398494i | ||||
\(222\) | −4.02125 | − | 7.21631i | −0.269888 | − | 0.484327i | ||||
\(223\) | −15.8538 | + | 3.36984i | −1.06165 | + | 0.225661i | −0.705459 | − | 0.708751i | \(-0.749259\pi\) |
−0.356193 | + | 0.934412i | \(0.615926\pi\) | |||||||
\(224\) | −5.72583 | −0.382573 | ||||||||
\(225\) | −14.2782 | + | 4.59719i | −0.951877 | + | 0.306479i | ||||
\(226\) | 11.5823 | 0.770443 | ||||||||
\(227\) | −9.01077 | + | 1.91530i | −0.598066 | + | 0.127123i | −0.496990 | − | 0.867756i | \(-0.665562\pi\) |
−0.101075 | + | 0.994879i | \(0.532228\pi\) | |||||||
\(228\) | 4.69139 | − | 7.84759i | 0.310695 | − | 0.519719i | ||||
\(229\) | −7.49545 | + | 3.33719i | −0.495314 | + | 0.220528i | −0.639162 | − | 0.769072i | \(-0.720719\pi\) |
0.143849 | + | 0.989600i | \(0.454052\pi\) | |||||||
\(230\) | −0.175983 | + | 0.357567i | −0.0116040 | + | 0.0235773i | ||||
\(231\) | −7.19217 | − | 8.23628i | −0.473210 | − | 0.541907i | ||||
\(232\) | −2.10604 | − | 3.64776i | −0.138268 | − | 0.239487i | ||||
\(233\) | −6.70215 | + | 4.86940i | −0.439073 | + | 0.319005i | −0.785266 | − | 0.619158i | \(-0.787474\pi\) |
0.346194 | + | 0.938163i | \(0.387474\pi\) | |||||||
\(234\) | −3.38661 | − | 0.103059i | −0.221390 | − | 0.00673717i | ||||
\(235\) | −26.3964 | + | 1.75099i | −1.72191 | + | 0.114222i | ||||
\(236\) | 1.29916 | − | 0.276145i | 0.0845680 | − | 0.0179755i | ||||
\(237\) | 1.86054 | − | 15.4390i | 0.120855 | − | 1.00287i | ||||
\(238\) | −4.84559 | − | 1.02996i | −0.314093 | − | 0.0667625i | ||||
\(239\) | 0.722110 | + | 0.801984i | 0.0467094 | + | 0.0518760i | 0.766047 | − | 0.642785i | \(-0.222221\pi\) |
−0.719337 | + | 0.694661i | \(0.755554\pi\) | |||||||
\(240\) | 16.0503 | + | 10.4537i | 1.03605 | + | 0.674782i | ||||
\(241\) | −16.7927 | + | 18.6502i | −1.08172 | + | 1.20137i | −0.103315 | + | 0.994649i | \(0.532945\pi\) |
−0.978401 | + | 0.206718i | \(0.933722\pi\) | |||||||
\(242\) | 13.0229 | − | 9.46173i | 0.837147 | − | 0.608223i | ||||
\(243\) | 15.5434 | + | 1.18443i | 0.997109 | + | 0.0759814i | ||||
\(244\) | 2.34215 | − | 1.70167i | 0.149941 | − | 0.108938i | ||||
\(245\) | −10.6446 | − | 3.91748i | −0.680058 | − | 0.250278i | ||||
\(246\) | −15.6504 | − | 0.238076i | −0.997834 | − | 0.0151792i | ||||
\(247\) | −4.26949 | + | 1.90090i | −0.271661 | + | 0.120951i | ||||
\(248\) | −8.87507 | − | 9.85676i | −0.563567 | − | 0.625905i | ||||
\(249\) | 28.4977 | + | 13.2110i | 1.80597 | + | 0.837213i | ||||
\(250\) | 12.2951 | + | 13.9532i | 0.777608 | + | 0.882478i | ||||
\(251\) | −23.1900 | −1.46374 | −0.731869 | − | 0.681445i | \(-0.761352\pi\) | ||||
−0.731869 | + | 0.681445i | \(0.761352\pi\) | |||||||
\(252\) | 2.52575 | + | 1.95515i | 0.159107 | + | 0.123163i | ||||
\(253\) | 0.394169 | + | 0.286381i | 0.0247812 | + | 0.0180046i | ||||
\(254\) | 3.85784 | − | 36.7049i | 0.242062 | − | 2.30307i | ||||
\(255\) | 5.86686 | + | 5.88253i | 0.367397 | + | 0.368378i | ||||
\(256\) | −1.67716 | − | 15.9571i | −0.104823 | − | 0.997321i | ||||
\(257\) | −10.4244 | + | 18.0555i | −0.650253 | + | 1.12627i | 0.332808 | + | 0.942995i | \(0.392004\pi\) |
−0.983061 | + | 0.183277i | \(0.941329\pi\) | |||||||
\(258\) | −2.32336 | − | 2.66065i | −0.144646 | − | 0.165645i | ||||
\(259\) | 2.66369 | − | 2.95833i | 0.165514 | − | 0.183821i | ||||
\(260\) | 0.432291 | + | 1.08107i | 0.0268096 | + | 0.0670452i | ||||
\(261\) | −0.830012 | + | 6.10436i | −0.0513764 | + | 0.377850i | ||||
\(262\) | 5.97377 | + | 18.3854i | 0.369061 | + | 1.13585i | ||||
\(263\) | −6.07004 | + | 6.74146i | −0.374295 | + | 0.415696i | −0.900634 | − | 0.434578i | \(-0.856897\pi\) |
0.526339 | + | 0.850275i | \(0.323564\pi\) | |||||||
\(264\) | 10.9912 | − | 11.8397i | 0.676460 | − | 0.728683i | ||||
\(265\) | −1.31310 | + | 2.66799i | −0.0806629 | + | 0.163893i | ||||
\(266\) | 15.5485 | + | 3.30493i | 0.953338 | + | 0.202638i | ||||
\(267\) | 4.23068 | − | 12.3769i | 0.258914 | − | 0.757453i | ||||
\(268\) | 5.45140 | + | 9.44209i | 0.332997 | + | 0.576768i | ||||
\(269\) | 12.0005 | − | 8.71886i | 0.731683 | − | 0.531599i | −0.158413 | − | 0.987373i | \(-0.550638\pi\) |
0.890095 | + | 0.455774i | \(0.150638\pi\) | |||||||
\(270\) | −6.34978 | − | 18.2540i | −0.386435 | − | 1.11091i | ||||
\(271\) | 6.34725 | + | 4.61155i | 0.385568 | + | 0.280132i | 0.763637 | − | 0.645646i | \(-0.223412\pi\) |
−0.378069 | + | 0.925777i | \(0.623412\pi\) | |||||||
\(272\) | 1.10895 | − | 10.5510i | 0.0672402 | − | 0.639748i | ||||
\(273\) | −0.480850 | − | 1.56027i | −0.0291024 | − | 0.0944316i | ||||
\(274\) | −13.7754 | + | 23.8597i | −0.832203 | + | 1.44142i | ||||
\(275\) | 19.3670 | − | 11.9101i | 1.16788 | − | 0.718208i | ||||
\(276\) | −0.129121 | − | 0.0598580i | −0.00777218 | − | 0.00360303i | ||||
\(277\) | 21.7610 | − | 4.62545i | 1.30749 | − | 0.277916i | 0.499092 | − | 0.866549i | \(-0.333667\pi\) |
0.808400 | + | 0.588633i | \(0.200334\pi\) | |||||||
\(278\) | −22.6487 | − | 16.4552i | −1.35838 | − | 0.986919i | ||||
\(279\) | 1.43999 | + | 19.3456i | 0.0862100 | + | 1.15819i | ||||
\(280\) | −1.56255 | + | 6.17291i | −0.0933799 | + | 0.368902i | ||||
\(281\) | 9.27859 | + | 4.13109i | 0.553514 | + | 0.246440i | 0.664380 | − | 0.747395i | \(-0.268696\pi\) |
−0.110866 | + | 0.993835i | \(0.535362\pi\) | |||||||
\(282\) | −3.04688 | − | 33.9491i | −0.181439 | − | 2.02164i | ||||
\(283\) | −0.0797346 | − | 0.758624i | −0.00473973 | − | 0.0450955i | 0.991896 | − | 0.127049i | \(-0.0405507\pi\) |
−0.996636 | + | 0.0819538i | \(0.973884\pi\) | |||||||
\(284\) | −10.1622 | − | 2.16005i | −0.603018 | − | 0.128175i | ||||
\(285\) | −18.8255 | − | 18.8758i | −1.11513 | − | 1.11811i | ||||
\(286\) | 5.02339 | − | 1.06775i | 0.297039 | − | 0.0631376i | ||||
\(287\) | −2.33074 | − | 7.17328i | −0.137579 | − | 0.423425i | ||||
\(288\) | −6.50947 | + | 10.5220i | −0.383574 | + | 0.620017i | ||||
\(289\) | −3.83131 | + | 11.7916i | −0.225371 | + | 0.693622i | ||||
\(290\) | 7.34956 | − | 2.07904i | 0.431581 | − | 0.122085i | ||||
\(291\) | −2.25292 | + | 18.6950i | −0.132069 | + | 1.09592i | ||||
\(292\) | 0.474936 | + | 4.51872i | 0.0277935 | + | 0.264438i | ||||
\(293\) | 3.29507 | − | 5.70722i | 0.192500 | − | 0.333419i | −0.753578 | − | 0.657358i | \(-0.771674\pi\) |
0.946078 | + | 0.323939i | \(0.105007\pi\) | |||||||
\(294\) | 4.72700 | − | 13.8289i | 0.275684 | − | 0.806516i | ||||
\(295\) | 0.148994 | − | 3.86982i | 0.00867476 | − | 0.225310i | ||||
\(296\) | 4.75815 | + | 3.45699i | 0.276562 | + | 0.200934i | ||||
\(297\) | −23.3118 | + | 3.85316i | −1.35269 | + | 0.223583i | ||||
\(298\) | −8.20364 | + | 25.2482i | −0.475224 | + | 1.46259i | ||||
\(299\) | 0.0363745 | + | 0.0630025i | 0.00210359 | + | 0.00364353i | ||||
\(300\) | −4.87941 | + | 4.50554i | −0.281713 | + | 0.260127i | ||||
\(301\) | 0.851063 | − | 1.47408i | 0.0490545 | − | 0.0849648i | ||||
\(302\) | −9.36656 | − | 10.4026i | −0.538985 | − | 0.598604i | ||||
\(303\) | −10.2970 | − | 18.4785i | −0.591548 | − | 1.06156i | ||||
\(304\) | −3.55840 | + | 33.8559i | −0.204088 | + | 1.94177i | ||||
\(305\) | −3.13418 | − | 7.83794i | −0.179462 | − | 0.448799i | ||||
\(306\) | −7.40145 | + | 7.73354i | −0.423113 | + | 0.442097i | ||||
\(307\) | 20.2069 | 1.15327 | 0.576634 | − | 0.817002i | \(-0.304366\pi\) | ||||
0.576634 | + | 0.817002i | \(0.304366\pi\) | |||||||
\(308\) | −4.42282 | − | 1.96917i | −0.252014 | − | 0.112204i | ||||
\(309\) | −1.35247 | + | 0.577674i | −0.0769396 | + | 0.0328627i | ||||
\(310\) | 21.2765 | − | 11.2155i | 1.20842 | − | 0.636997i | ||||
\(311\) | 11.9608 | + | 13.2838i | 0.678234 | + | 0.753255i | 0.979754 | − | 0.200205i | \(-0.0641608\pi\) |
−0.301520 | + | 0.953460i | \(0.597494\pi\) | |||||||
\(312\) | 2.21830 | − | 0.947489i | 0.125587 | − | 0.0536410i | ||||
\(313\) | 12.2784 | − | 13.6366i | 0.694019 | − | 0.770786i | −0.288393 | − | 0.957512i | \(-0.593121\pi\) |
0.982412 | + | 0.186726i | \(0.0597877\pi\) | |||||||
\(314\) | 0.0437675 | − | 0.134702i | 0.00246994 | − | 0.00760170i | ||||
\(315\) | 7.33367 | − | 5.74043i | 0.413205 | − | 0.323437i | ||||
\(316\) | −2.12766 | − | 6.54826i | −0.119690 | − | 0.368369i | ||||
\(317\) | 2.89860 | + | 1.29054i | 0.162802 | + | 0.0724841i | 0.486520 | − | 0.873670i | \(-0.338266\pi\) |
−0.323718 | + | 0.946154i | \(0.604933\pi\) | |||||||
\(318\) | −3.47604 | − | 1.61142i | −0.194927 | − | 0.0903641i | ||||
\(319\) | −0.976064 | − | 9.28663i | −0.0546491 | − | 0.519952i | ||||
\(320\) | −6.70820 | − | 0.967250i | −0.375000 | − | 0.0540709i | ||||
\(321\) | 33.0375 | + | 0.502571i | 1.84398 | + | 0.0280508i | ||||
\(322\) | 0.0258642 | − | 0.246082i | 0.00144136 | − | 0.0137136i | ||||
\(323\) | −4.56282 | + | 14.0429i | −0.253882 | + | 0.781369i | ||||
\(324\) | 6.46429 | − | 2.41869i | 0.359127 | − | 0.134372i | ||||
\(325\) | 3.36509 | − | 0.448416i | 0.186662 | − | 0.0248736i | ||||
\(326\) | 10.2602 | + | 17.7712i | 0.568261 | + | 0.984256i | ||||
\(327\) | 6.68585 | + | 21.6943i | 0.369728 | + | 1.19970i | ||||
\(328\) | 10.1800 | − | 4.53244i | 0.562098 | − | 0.250262i | ||||
\(329\) | 15.0050 | − | 6.68065i | 0.827251 | − | 0.368316i | ||||
\(330\) | 15.9222 | + | 24.5898i | 0.876491 | + | 1.35363i | ||||
\(331\) | −13.4822 | − | 6.00268i | −0.741051 | − | 0.329937i | 0.00125393 | − | 0.999999i | \(-0.499601\pi\) |
−0.742305 | + | 0.670062i | \(0.766268\pi\) | |||||||
\(332\) | 13.9076 | 0.763278 | ||||||||
\(333\) | −2.40811 | − | 8.25811i | −0.131963 | − | 0.452542i | ||||
\(334\) | 3.44246 | + | 10.5948i | 0.188363 | + | 0.579721i | ||||
\(335\) | 30.5898 | − | 8.65322i | 1.67130 | − | 0.472776i | ||||
\(336\) | −11.5937 | − | 2.64926i | −0.632491 | − | 0.144529i | ||||
\(337\) | 11.9319 | + | 2.53619i | 0.649970 | + | 0.138155i | 0.521086 | − | 0.853504i | \(-0.325527\pi\) |
0.128884 | + | 0.991660i | \(0.458861\pi\) | |||||||
\(338\) | −20.4015 | − | 4.33648i | −1.10970 | − | 0.235873i | ||||
\(339\) | 11.7573 | + | 2.68663i | 0.638569 | + | 0.145918i | ||||
\(340\) | 3.45213 | + | 1.27047i | 0.187218 | + | 0.0689010i | ||||
\(341\) | −9.08639 | − | 27.9650i | −0.492056 | − | 1.51439i | ||||
\(342\) | 23.7497 | − | 24.8153i | 1.28424 | − | 1.34186i | ||||
\(343\) | 16.7606 | 0.904989 | ||||||||
\(344\) | 2.29736 | + | 1.02285i | 0.123865 | + | 0.0551485i | ||||
\(345\) | −0.261583 | + | 0.322149i | −0.0140832 | + | 0.0173439i | ||||
\(346\) | −17.4744 | + | 7.78011i | −0.939430 | + | 0.418261i | ||||
\(347\) | 19.8592 | − | 8.84187i | 1.06610 | − | 0.474656i | 0.202730 | − | 0.979235i | \(-0.435019\pi\) |
0.863366 | + | 0.504578i | \(0.168352\pi\) | |||||||
\(348\) | 0.803333 | + | 2.60666i | 0.0430631 | + | 0.139732i | ||||
\(349\) | 5.54554 | + | 9.60516i | 0.296846 | + | 0.514152i | 0.975413 | − | 0.220387i | \(-0.0707319\pi\) |
−0.678567 | + | 0.734539i | \(0.737399\pi\) | |||||||
\(350\) | −10.1561 | − | 5.49361i | −0.542866 | − | 0.293646i | ||||
\(351\) | −3.41387 | − | 0.890174i | −0.182219 | − | 0.0475140i | ||||
\(352\) | 5.79531 | − | 17.8361i | 0.308891 | − | 0.950669i | ||||
\(353\) | −0.530083 | + | 5.04340i | −0.0282135 | + | 0.268433i | 0.971317 | + | 0.237789i | \(0.0764226\pi\) |
−0.999530 | + | 0.0306445i | \(0.990244\pi\) | |||||||
\(354\) | 4.98923 | + | 0.0758967i | 0.265174 | + | 0.00403387i | ||||
\(355\) | −13.3768 | + | 27.1793i | −0.709965 | + | 1.44253i | ||||
\(356\) | −0.605357 | − | 5.75959i | −0.0320838 | − | 0.305257i | ||||
\(357\) | −4.67989 | − | 2.16951i | −0.247686 | − | 0.114822i | ||||
\(358\) | −7.46292 | − | 3.32271i | −0.394427 | − | 0.175610i | ||||
\(359\) | −9.46581 | − | 29.1328i | −0.499586 | − | 1.53757i | −0.809685 | − | 0.586864i | \(-0.800362\pi\) |
0.310099 | − | 0.950704i | \(-0.399638\pi\) | |||||||
\(360\) | 9.56720 | + | 9.88913i | 0.504236 | + | 0.521203i | ||||
\(361\) | 8.76981 | − | 26.9907i | 0.461569 | − | 1.42056i | ||||
\(362\) | −2.32737 | + | 2.58480i | −0.122324 | + | 0.135854i | ||||
\(363\) | 15.4145 | − | 6.58388i | 0.809049 | − | 0.345564i | ||||
\(364\) | −0.483707 | − | 0.537211i | −0.0253531 | − | 0.0281575i | ||||
\(365\) | 13.1126 | + | 1.89069i | 0.686342 | + | 0.0989632i | ||||
\(366\) | 10.0022 | − | 4.27216i | 0.522822 | − | 0.223310i | ||||
\(367\) | −14.5972 | − | 6.49910i | −0.761968 | − | 0.339250i | −0.0113057 | − | 0.999936i | \(-0.503599\pi\) |
−0.750662 | + | 0.660686i | \(0.770265\pi\) | |||||||
\(368\) | 0.529910 | 0.0276235 | ||||||||
\(369\) | −15.8317 | − | 3.87195i | −0.824163 | − | 0.201565i | ||||
\(370\) | −8.19434 | + | 6.82608i | −0.426003 | + | 0.354871i | ||||
\(371\) | 0.192986 | − | 1.83614i | 0.0100193 | − | 0.0953276i | ||||
\(372\) | 4.18096 | + | 7.50293i | 0.216773 | + | 0.389009i | ||||
\(373\) | 7.53730 | + | 8.37102i | 0.390267 | + | 0.433435i | 0.905976 | − | 0.423328i | \(-0.139138\pi\) |
−0.515710 | + | 0.856763i | \(0.672472\pi\) | |||||||
\(374\) | 8.11274 | − | 14.0517i | 0.419500 | − | 0.726595i | ||||
\(375\) | 9.24425 | + | 17.0160i | 0.477371 | + | 0.878702i | ||||
\(376\) | 12.1334 | + | 21.0157i | 0.625733 | + | 1.08380i | ||||
\(377\) | 0.430852 | − | 1.32603i | 0.0221900 | − | 0.0682938i | ||||
\(378\) | 7.61419 | + | 9.27448i | 0.391632 | + | 0.477028i | ||||
\(379\) | −17.8996 | − | 13.0048i | −0.919440 | − | 0.668012i | 0.0239446 | − | 0.999713i | \(-0.492377\pi\) |
−0.943385 | + | 0.331701i | \(0.892377\pi\) | |||||||
\(380\) | −11.0772 | − | 4.07668i | −0.568247 | − | 0.209129i | ||||
\(381\) | 12.4302 | − | 36.3646i | 0.636819 | − | 1.86302i | ||||
\(382\) | 8.54123 | − | 14.7938i | 0.437007 | − | 0.756919i | ||||
\(383\) | −0.661282 | − | 6.29168i | −0.0337899 | − | 0.321490i | −0.998340 | − | 0.0575909i | \(-0.981658\pi\) |
0.964550 | − | 0.263899i | \(-0.0850086\pi\) | |||||||
\(384\) | 2.75413 | − | 22.8542i | 0.140546 | − | 1.16627i | ||||
\(385\) | −8.73065 | + | 11.0927i | −0.444955 | + | 0.565338i | ||||
\(386\) | 0.903967 | − | 2.78213i | 0.0460107 | − | 0.141606i | ||||
\(387\) | −1.74130 | − | 3.23978i | −0.0885154 | − | 0.164687i | ||||
\(388\) | 2.57638 | + | 7.92927i | 0.130796 | + | 0.402548i | ||||
\(389\) | −32.3577 | + | 6.87784i | −1.64060 | + | 0.348720i | −0.933551 | − | 0.358444i | \(-0.883307\pi\) |
−0.707049 | + | 0.707165i | \(0.749974\pi\) | |||||||
\(390\) | 0.678501 | + | 4.32117i | 0.0343572 | + | 0.218811i | ||||
\(391\) | 0.224821 | + | 0.0477872i | 0.0113697 | + | 0.00241670i | ||||
\(392\) | 1.08758 | + | 10.3476i | 0.0549309 | + | 0.522633i | ||||
\(393\) | 1.79936 | + | 20.0489i | 0.0907655 | + | 1.01133i | ||||
\(394\) | 2.40786 | + | 1.07205i | 0.121306 | + | 0.0540089i | ||||
\(395\) | −20.0319 | + | 1.32880i | −1.00791 | + | 0.0668591i | ||||
\(396\) | −8.64675 | + | 5.88890i | −0.434516 | + | 0.295928i | ||||
\(397\) | 22.9141 | + | 16.6480i | 1.15002 | + | 0.835541i | 0.988484 | − | 0.151325i | \(-0.0483539\pi\) |
0.161540 | + | 0.986866i | \(0.448354\pi\) | |||||||
\(398\) | −7.87134 | + | 1.67310i | −0.394554 | + | 0.0838651i | ||||
\(399\) | 15.0168 | + | 6.96149i | 0.751779 | + | 0.348510i | ||||
\(400\) | 9.42712 | − | 22.8608i | 0.471356 | − | 1.14304i | ||||
\(401\) | −4.98614 | + | 8.63625i | −0.248996 | + | 0.431274i | −0.963248 | − | 0.268615i | \(-0.913434\pi\) |
0.714251 | + | 0.699889i | \(0.246767\pi\) | |||||||
\(402\) | 12.0634 | + | 39.1436i | 0.601670 | + | 1.95231i | ||||
\(403\) | 0.458929 | − | 4.36642i | 0.0228609 | − | 0.217507i | ||||
\(404\) | −7.57731 | − | 5.50524i | −0.376985 | − | 0.273896i | ||||
\(405\) | −2.21151 | − | 20.0027i | −0.109891 | − | 0.993944i | ||||
\(406\) | −3.83655 | + | 2.78742i | −0.190405 | + | 0.138337i | ||||
\(407\) | 6.51926 | + | 11.2917i | 0.323148 | + | 0.559708i | ||||
\(408\) | 2.46501 | − | 7.21139i | 0.122036 | − | 0.357017i | ||||
\(409\) | 9.44969 | + | 2.00859i | 0.467257 | + | 0.0993186i | 0.435523 | − | 0.900178i | \(-0.356564\pi\) |
0.0317346 | + | 0.999496i | \(0.489897\pi\) | |||||||
\(410\) | 3.43772 | + | 19.9124i | 0.169777 | + | 0.983402i | ||||
\(411\) | −19.5181 | + | 21.0249i | −0.962754 | + | 1.03708i | ||||
\(412\) | −0.435711 | + | 0.483906i | −0.0214659 | + | 0.0238403i | ||||
\(413\) | 0.743021 | + | 2.28678i | 0.0365617 | + | 0.112525i | ||||
\(414\) | −0.422806 | − | 0.327290i | −0.0207798 | − | 0.0160854i | ||||
\(415\) | 9.95092 | − | 39.3116i | 0.488471 | − | 1.92973i | ||||
\(416\) | 1.87373 | − | 2.08099i | 0.0918672 | − | 0.102029i | ||||
\(417\) | −19.1739 | − | 21.9574i | −0.938951 | − | 1.07526i | ||||
\(418\) | −26.0321 | + | 45.0889i | −1.27327 | + | 2.20537i | ||||
\(419\) | 1.32174 | + | 12.5755i | 0.0645710 | + | 0.614352i | 0.978180 | + | 0.207758i | \(0.0666168\pi\) |
−0.913609 | + | 0.406594i | \(0.866717\pi\) | |||||||
\(420\) | 1.87693 | − | 3.67158i | 0.0915850 | − | 0.179155i | ||||
\(421\) | 2.39672 | − | 22.8033i | 0.116809 | − | 1.11136i | −0.766393 | − | 0.642372i | \(-0.777951\pi\) |
0.883202 | − | 0.468992i | \(-0.155383\pi\) | |||||||
\(422\) | −5.77800 | − | 4.19797i | −0.281269 | − | 0.204354i | ||||
\(423\) | 4.78191 | − | 35.1688i | 0.232504 | − | 1.70996i | ||||
\(424\) | 2.72771 | 0.132470 | ||||||||
\(425\) | 6.06116 | − | 8.84887i | 0.294010 | − | 0.429233i | ||||
\(426\) | −35.4111 | − | 16.4159i | −1.71567 | − | 0.795352i | ||||
\(427\) | 3.50695 | + | 3.89486i | 0.169713 | + | 0.188485i | ||||
\(428\) | 13.3647 | − | 5.95033i | 0.646005 | − | 0.287620i | ||||
\(429\) | 5.34696 | + | 0.0813386i | 0.258154 | + | 0.00392706i | ||||
\(430\) | −2.82035 | + | 3.58340i | −0.136009 | + | 0.172807i | ||||
\(431\) | 10.6124 | − | 7.71039i | 0.511183 | − | 0.371397i | −0.302089 | − | 0.953280i | \(-0.597684\pi\) |
0.813272 | + | 0.581883i | \(0.197684\pi\) | |||||||
\(432\) | −18.0489 | + | 18.2933i | −0.868376 | + | 0.880138i | ||||
\(433\) | −19.0904 | + | 13.8700i | −0.917425 | + | 0.666548i | −0.942882 | − | 0.333128i | \(-0.891896\pi\) |
0.0254569 | + | 0.999676i | \(0.491896\pi\) | |||||||
\(434\) | −9.99217 | + | 11.0974i | −0.479639 | + | 0.532694i | ||||
\(435\) | 7.94285 | − | 0.405647i | 0.380831 | − | 0.0194493i | ||||
\(436\) | 6.72557 | + | 7.46950i | 0.322096 | + | 0.357724i | ||||
\(437\) | −0.721404 | − | 0.153339i | −0.0345094 | − | 0.00733521i | ||||
\(438\) | −2.04228 | + | 16.9471i | −0.0975840 | + | 0.809765i | ||||
\(439\) | 7.92866 | − | 1.68529i | 0.378414 | − | 0.0804344i | −0.0147778 | − | 0.999891i | \(-0.504704\pi\) |
0.393192 | + | 0.919456i | \(0.371371\pi\) | |||||||
\(440\) | −17.6473 | − | 11.1152i | −0.841301 | − | 0.529896i | ||||
\(441\) | 8.00617 | − | 12.9413i | 0.381246 | − | 0.616254i | ||||
\(442\) | 1.96001 | − | 1.42403i | 0.0932280 | − | 0.0677341i | ||||
\(443\) | −0.254259 | − | 0.440389i | −0.0120802 | − | 0.0209235i | 0.859922 | − | 0.510425i | \(-0.170512\pi\) |
−0.872002 | + | 0.489502i | \(0.837179\pi\) | |||||||
\(444\) | −2.50514 | − | 2.86882i | −0.118889 | − | 0.136148i | ||||
\(445\) | −16.7133 | − | 2.40988i | −0.792288 | − | 0.114239i | ||||
\(446\) | −24.6295 | + | 10.9658i | −1.16624 | + | 0.519244i | ||||
\(447\) | −14.1842 | + | 23.7268i | −0.670888 | + | 1.12224i | ||||
\(448\) | 4.11609 | − | 0.874903i | 0.194467 | − | 0.0413353i | ||||
\(449\) | 7.22605 | 0.341018 | 0.170509 | − | 0.985356i | \(-0.445459\pi\) | ||||
0.170509 | + | 0.985356i | \(0.445459\pi\) | |||||||
\(450\) | −21.6413 | + | 12.4178i | −1.02018 | + | 0.585380i | ||||
\(451\) | 24.7040 | 1.16327 | ||||||||
\(452\) | 5.22317 | − | 1.11022i | 0.245677 | − | 0.0522203i | ||||
\(453\) | −7.09509 | − | 12.7325i | −0.333356 | − | 0.598223i | ||||
\(454\) | −13.9985 | + | 6.23256i | −0.656984 | + | 0.292508i | ||||
\(455\) | −1.86459 | + | 0.982883i | −0.0874132 | + | 0.0460783i | ||||
\(456\) | −7.90969 | + | 23.1398i | −0.370405 | + | 1.08362i | ||||
\(457\) | −7.94049 | − | 13.7533i | −0.371441 | − | 0.643354i | 0.618347 | − | 0.785905i | \(-0.287803\pi\) |
−0.989787 | + | 0.142551i | \(0.954469\pi\) | |||||||
\(458\) | −11.0413 | + | 8.02199i | −0.515927 | + | 0.374843i | ||||
\(459\) | −9.30715 | + | 6.13354i | −0.434421 | + | 0.286289i | ||||
\(460\) | −0.0450869 | + | 0.178118i | −0.00210219 | + | 0.00830478i | ||||
\(461\) | −32.2855 | + | 6.86249i | −1.50369 | + | 0.319618i | −0.884840 | − | 0.465895i | \(-0.845733\pi\) |
−0.618845 | + | 0.785513i | \(0.712399\pi\) | |||||||
\(462\) | −14.5504 | − | 10.9135i | −0.676947 | − | 0.507740i | ||||
\(463\) | −18.0119 | − | 3.82855i | −0.837084 | − | 0.177928i | −0.230625 | − | 0.973043i | \(-0.574077\pi\) |
−0.606459 | + | 0.795115i | \(0.707411\pi\) | |||||||
\(464\) | −6.79566 | − | 7.54734i | −0.315480 | − | 0.350377i | ||||
\(465\) | 24.1995 | − | 6.44965i | 1.12222 | − | 0.299096i | ||||
\(466\) | −9.22069 | + | 10.2406i | −0.427140 | + | 0.474387i | ||||
\(467\) | −14.9196 | + | 10.8397i | −0.690398 | + | 0.501603i | −0.876791 | − | 0.480872i | \(-0.840320\pi\) |
0.186393 | + | 0.982475i | \(0.440320\pi\) | |||||||
\(468\) | −1.53711 | + | 0.278147i | −0.0710528 | + | 0.0128574i | ||||
\(469\) | −15.9682 | + | 11.6016i | −0.737344 | + | 0.535712i | ||||
\(470\) | −42.3427 | + | 11.9779i | −1.95312 | + | 0.552498i | ||||
\(471\) | 0.0756744 | − | 0.126585i | 0.00348689 | − | 0.00583275i | ||||
\(472\) | −3.24531 | + | 1.44491i | −0.149378 | + | 0.0665072i | ||||
\(473\) | 3.73043 | + | 4.14306i | 0.171525 | + | 0.190498i | ||||
\(474\) | −2.31223 | − | 25.7634i | −0.106204 | − | 1.18335i | ||||
\(475\) | −19.4490 | + | 28.3942i | −0.892381 | + | 1.30281i | ||||
\(476\) | −2.28390 | −0.104682 | ||||||||
\(477\) | −3.15477 | − | 2.44207i | −0.144447 | − | 0.111815i | ||||
\(478\) | 1.45226 | + | 1.05513i | 0.0664250 | + | 0.0482606i | ||||
\(479\) | 2.41271 | − | 22.9554i | 0.110239 | − | 1.04886i | −0.789894 | − | 0.613243i | \(-0.789865\pi\) |
0.900133 | − | 0.435614i | \(-0.143469\pi\) | |||||||
\(480\) | 14.9046 | + | 5.74417i | 0.680301 | + | 0.262184i | ||||
\(481\) | 0.203500 | + | 1.93617i | 0.00927881 | + | 0.0882820i | ||||
\(482\) | −20.8726 | + | 36.1524i | −0.950720 | + | 1.64670i | ||||
\(483\) | 0.0833362 | − | 0.243800i | 0.00379193 | − | 0.0110933i | ||||
\(484\) | 4.96589 | − | 5.51518i | 0.225722 | − | 0.250690i | ||||
\(485\) | 24.2565 | − | 1.60904i | 1.10143 | − | 0.0730627i | ||||
\(486\) | 25.6994 | − | 3.44839i | 1.16575 | − | 0.156422i | ||||
\(487\) | −3.52725 | − | 10.8558i | −0.159835 | − | 0.491921i | 0.838784 | − | 0.544465i | \(-0.183267\pi\) |
−0.998619 | + | 0.0525435i | \(0.983267\pi\) | |||||||
\(488\) | −5.18127 | + | 5.75439i | −0.234545 | + | 0.260489i | ||||
\(489\) | 6.29302 | + | 20.4197i | 0.284580 | + | 0.923409i | ||||
\(490\) | −18.6741 | − | 2.69260i | −0.843608 | − | 0.121639i | ||||
\(491\) | 38.9241 | + | 8.27356i | 1.75662 | + | 0.373381i | 0.969818 | − | 0.243828i | \(-0.0784033\pi\) |
0.786799 | + | 0.617209i | \(0.211737\pi\) | |||||||
\(492\) | −7.08055 | + | 1.39280i | −0.319216 | + | 0.0627924i | ||||
\(493\) | −2.20253 | − | 3.81489i | −0.0991969 | − | 0.171814i | ||||
\(494\) | −6.28925 | + | 4.56941i | −0.282967 | + | 0.205587i | ||||
\(495\) | 10.4590 | + | 28.6547i | 0.470095 | + | 1.28793i | ||||
\(496\) | −25.8728 | − | 18.7977i | −1.16172 | − | 0.844041i | ||||
\(497\) | 1.96599 | − | 18.7051i | 0.0881866 | − | 0.839039i | ||||
\(498\) | 50.9360 | + | 11.6393i | 2.28250 | + | 0.521568i | ||||
\(499\) | 18.1188 | − | 31.3826i | 0.811107 | − | 1.40488i | −0.100983 | − | 0.994888i | \(-0.532199\pi\) |
0.912090 | − | 0.409990i | \(-0.134468\pi\) | |||||||
\(500\) | 6.88208 | + | 5.11381i | 0.307776 | + | 0.228697i | ||||
\(501\) | 1.03690 | + | 11.5534i | 0.0463253 | + | 0.516167i | ||||
\(502\) | −37.7312 | + | 8.02001i | −1.68403 | + | 0.357951i | ||||
\(503\) | 26.1554 | + | 19.0030i | 1.16621 | + | 0.847302i | 0.990550 | − | 0.137149i | \(-0.0437939\pi\) |
0.175661 | + | 0.984451i | \(0.443794\pi\) | |||||||
\(504\) | −7.69514 | − | 3.71055i | −0.342769 | − | 0.165281i | ||||
\(505\) | −20.9829 | + | 17.4792i | −0.933725 | + | 0.777816i | ||||
\(506\) | 0.740374 | + | 0.329636i | 0.0329136 | + | 0.0146541i | ||||
\(507\) | −19.7039 | − | 9.13434i | −0.875081 | − | 0.405670i | ||||
\(508\) | −1.77860 | − | 16.9223i | −0.0789128 | − | 0.750805i | ||||
\(509\) | 0.264168 | + | 0.0561506i | 0.0117090 | + | 0.00248883i | 0.213762 | − | 0.976886i | \(-0.431428\pi\) |
−0.202053 | + | 0.979374i | \(0.564761\pi\) | |||||||
\(510\) | 11.5801 | + | 7.54215i | 0.512774 | + | 0.333972i | ||||
\(511\) | −8.04575 | + | 1.71018i | −0.355923 | + | 0.0756538i | ||||
\(512\) | −0.0335504 | − | 0.103257i | −0.00148273 | − | 0.00456337i | ||||
\(513\) | 29.8647 | − | 19.6812i | 1.31856 | − | 0.868948i | ||||
\(514\) | −10.7166 | + | 32.9823i | −0.472689 | + | 1.45479i | ||||
\(515\) | 1.05607 | + | 1.57783i | 0.0465360 | + | 0.0695274i | ||||
\(516\) | −1.30278 | − | 0.977145i | −0.0573518 | − | 0.0430164i | ||||
\(517\) | 5.62336 | + | 53.5027i | 0.247315 | + | 2.35304i | ||||
\(518\) | 3.31084 | − | 5.73454i | 0.145470 | − | 0.251961i | ||||
\(519\) | −19.5431 | + | 3.84429i | −0.857847 | + | 0.168746i | ||||
\(520\) | −1.73214 | − | 2.58792i | −0.0759595 | − | 0.113488i | ||||
\(521\) | 22.4017 | + | 16.2758i | 0.981435 | + | 0.713054i | 0.958029 | − | 0.286672i | \(-0.0925489\pi\) |
0.0234061 | + | 0.999726i | \(0.492549\pi\) | |||||||
\(522\) | 0.760659 | + | 10.2191i | 0.0332931 | + | 0.447279i | ||||
\(523\) | 11.9194 | − | 36.6841i | 0.521198 | − | 1.60408i | −0.250515 | − | 0.968113i | \(-0.580600\pi\) |
0.771713 | − | 0.635971i | \(-0.219400\pi\) | |||||||
\(524\) | 4.45627 | + | 7.71848i | 0.194673 | + | 0.337183i | ||||
\(525\) | −9.03523 | − | 7.93242i | −0.394330 | − | 0.346199i | ||||
\(526\) | −7.54477 | + | 13.0679i | −0.328968 | + | 0.569789i | ||||
\(527\) | −9.28170 | − | 10.3084i | −0.404317 | − | 0.449040i | ||||
\(528\) | 19.9869 | − | 33.4335i | 0.869820 | − | 1.45500i | ||||
\(529\) | 2.40295 | − | 22.8626i | 0.104476 | − | 0.994025i | ||||
\(530\) | −1.21377 | + | 4.79506i | −0.0527229 | + | 0.208284i | ||||
\(531\) | 5.04701 | + | 1.23435i | 0.219021 | + | 0.0535660i | ||||
\(532\) | 7.32855 | 0.317733 | ||||||||
\(533\) | 3.36976 | + | 1.50032i | 0.145961 | + | 0.0649859i | ||||
\(534\) | 2.60310 | − | 21.6009i | 0.112647 | − | 0.934763i | ||||
\(535\) | −7.25691 | − | 42.0344i | −0.313744 | − | 1.81731i | ||||
\(536\) | −19.5127 | − | 21.6711i | −0.842820 | − | 0.936047i | ||||
\(537\) | −6.80494 | − | 5.10401i | −0.293655 | − | 0.220254i | ||||
\(538\) | 16.5100 | − | 18.3362i | 0.711798 | − | 0.790531i | ||||
\(539\) | −7.12781 | + | 21.9371i | −0.307016 | + | 0.944900i | ||||
\(540\) | −4.61324 | − | 7.62320i | −0.198522 | − | 0.328050i | ||||
\(541\) | −9.26487 | − | 28.5143i | −0.398328 | − | 1.22593i | −0.926339 | − | 0.376690i | \(-0.877062\pi\) |
0.528011 | − | 0.849237i | \(-0.322938\pi\) | |||||||
\(542\) | 11.9221 | + | 5.30808i | 0.512099 | + | 0.228001i | ||||
\(543\) | −2.96210 | + | 2.08400i | −0.127116 | + | 0.0894331i | ||||
\(544\) | −0.924776 | − | 8.79865i | −0.0396494 | − | 0.377239i | ||||
\(545\) | 25.9257 | − | 13.6662i | 1.11053 | − | 0.585397i | ||||
\(546\) | −1.32197 | − | 2.37233i | −0.0565749 | − | 0.101526i | ||||
\(547\) | −0.600529 | + | 5.71365i | −0.0256768 | + | 0.244298i | 0.974154 | + | 0.225886i | \(0.0725277\pi\) |
−0.999830 | + | 0.0184119i | \(0.994139\pi\) | |||||||
\(548\) | −3.92511 | + | 12.0802i | −0.167672 | + | 0.516042i | ||||
\(549\) | 11.1443 | − | 2.01661i | 0.475626 | − | 0.0860667i | ||||
\(550\) | 27.3921 | − | 26.0762i | 1.16800 | − | 1.11189i | ||||
\(551\) | 7.06745 | + | 12.2412i | 0.301083 | + | 0.521492i | ||||
\(552\) | 0.371095 | + | 0.0847980i | 0.0157949 | + | 0.00360924i | ||||
\(553\) | 11.3870 | − | 5.06984i | 0.484227 | − | 0.215592i | ||||
\(554\) | 33.8065 | − | 15.0516i | 1.43630 | − | 0.639483i | ||||
\(555\) | −9.90152 | + | 5.02846i | −0.420296 | + | 0.213446i | ||||
\(556\) | −11.7910 | − | 5.24969i | −0.500049 | − | 0.222636i | ||||
\(557\) | −13.8510 | −0.586887 | −0.293444 | − | 0.955976i | \(-0.594801\pi\) | ||||
−0.293444 | + | 0.955976i | \(0.594801\pi\) | |||||||
\(558\) | 9.03342 | + | 30.9783i | 0.382415 | + | 1.31141i | ||||
\(559\) | 0.257236 | + | 0.791691i | 0.0108799 | + | 0.0334850i | ||||
\(560\) | −0.590686 | + | 15.3419i | −0.0249610 | + | 0.648313i | ||||
\(561\) | 11.4947 | − | 12.3822i | 0.485309 | − | 0.522775i | ||||
\(562\) | 16.5254 | + | 3.51258i | 0.697081 | + | 0.148169i | ||||
\(563\) | 29.1494 | + | 6.19591i | 1.22850 | + | 0.261126i | 0.776055 | − | 0.630665i | \(-0.217218\pi\) |
0.452447 | + | 0.891791i | \(0.350551\pi\) | |||||||
\(564\) | −4.62820 | − | 15.0176i | −0.194883 | − | 0.632357i | ||||
\(565\) | 0.599018 | − | 15.5583i | 0.0252009 | − | 0.654543i | ||||
\(566\) | −0.392094 | − | 1.20674i | −0.0164809 | − | 0.0507231i | ||||
\(567\) | 5.57793 | + | 11.1808i | 0.234251 | + | 0.469549i | ||||
\(568\) | 27.7878 | 1.16595 | ||||||||
\(569\) | 14.9654 | + | 6.66301i | 0.627381 | + | 0.279328i | 0.695696 | − | 0.718336i | \(-0.255096\pi\) |
−0.0683159 | + | 0.997664i | \(0.521763\pi\) | |||||||
\(570\) | −37.1580 | − | 24.2012i | −1.55638 | − | 1.01368i | ||||
\(571\) | −4.71944 | + | 2.10123i | −0.197502 | + | 0.0879337i | −0.503104 | − | 0.864226i | \(-0.667809\pi\) |
0.305602 | + | 0.952159i | \(0.401142\pi\) | |||||||
\(572\) | 2.16300 | − | 0.963031i | 0.0904397 | − | 0.0402663i | ||||
\(573\) | 12.1019 | − | 13.0361i | 0.505562 | − | 0.544592i | ||||
\(574\) | −6.27303 | − | 10.8652i | −0.261831 | − | 0.453505i | ||||
\(575\) | 0.471213 | + | 0.254888i | 0.0196509 | + | 0.0106295i | ||||
\(576\) | 3.07166 | − | 8.55855i | 0.127986 | − | 0.356606i | ||||
\(577\) | 4.99821 | − | 15.3829i | 0.208078 | − | 0.640399i | −0.791495 | − | 0.611176i | \(-0.790697\pi\) |
0.999573 | − | 0.0292230i | \(-0.00930328\pi\) | |||||||
\(578\) | −2.15574 | + | 20.5105i | −0.0896668 | + | 0.853122i | ||||
\(579\) | 1.56297 | − | 2.61448i | 0.0649547 | − | 0.108654i | ||||
\(580\) | 3.11508 | − | 1.64206i | 0.129347 | − | 0.0681826i | ||||
\(581\) | 2.63177 | + | 25.0396i | 0.109184 | + | 1.03882i | ||||
\(582\) | 2.79988 | + | 31.1969i | 0.116059 | + | 1.29315i | ||||
\(583\) | 5.52430 | + | 2.45958i | 0.228793 | + | 0.101865i | ||||
\(584\) | −3.75536 | − | 11.5578i | −0.155398 | − | 0.478266i | ||||
\(585\) | −0.313587 | + | 4.54385i | −0.0129652 | + | 0.187865i | ||||
\(586\) | 3.38744 | − | 10.4255i | 0.139934 | − | 0.430672i | ||||
\(587\) | −18.8057 | + | 20.8858i | −0.776193 | + | 0.862050i | −0.993474 | − | 0.114059i | \(-0.963615\pi\) |
0.217281 | + | 0.976109i | \(0.430281\pi\) | |||||||
\(588\) | 0.806132 | − | 6.68939i | 0.0332443 | − | 0.275866i | ||||
\(589\) | 29.7830 | + | 33.0774i | 1.22719 | + | 1.36293i | ||||
\(590\) | −1.09592 | − | 6.34790i | −0.0451182 | − | 0.261339i | ||||
\(591\) | 2.19556 | + | 1.64677i | 0.0903135 | + | 0.0677391i | ||||
\(592\) | 12.9549 | + | 5.76791i | 0.532444 | + | 0.237060i | ||||
\(593\) | 3.80524 | 0.156262 | 0.0781312 | − | 0.996943i | \(-0.475105\pi\) | ||||
0.0781312 | + | 0.996943i | \(0.475105\pi\) | |||||||
\(594\) | −36.5969 | + | 14.3314i | −1.50159 | + | 0.588025i | ||||
\(595\) | −1.63414 | + | 6.45573i | −0.0669931 | + | 0.264659i | ||||
\(596\) | −1.27936 | + | 12.1723i | −0.0524047 | + | 0.498597i | ||||
\(597\) | −8.37836 | − | 0.127453i | −0.342903 | − | 0.00521629i | ||||
\(598\) | 0.0809718 | + | 0.0899283i | 0.00331118 | + | 0.00367744i | ||||
\(599\) | 17.5681 | − | 30.4289i | 0.717813 | − | 1.24329i | −0.244051 | − | 0.969762i | \(-0.578476\pi\) |
0.961864 | − | 0.273527i | \(-0.0881902\pi\) | |||||||
\(600\) | 10.2601 | − | 14.5009i | 0.418866 | − | 0.591995i | ||||
\(601\) | −10.6092 | − | 18.3758i | −0.432760 | − | 0.749563i | 0.564350 | − | 0.825536i | \(-0.309127\pi\) |
−0.997110 | + | 0.0759732i | \(0.975794\pi\) | |||||||
\(602\) | 0.874923 | − | 2.69274i | 0.0356592 | − | 0.109748i | ||||
\(603\) | 3.16596 | + | 42.5333i | 0.128928 | + | 1.73209i | ||||
\(604\) | −5.22110 | − | 3.79335i | −0.212443 | − | 0.154349i | ||||
\(605\) | −12.0363 | − | 17.9829i | −0.489343 | − | 0.731107i | ||||
\(606\) | −23.1443 | − | 26.5042i | −0.940173 | − | 1.07666i | ||||
\(607\) | −7.55362 | + | 13.0833i | −0.306592 | + | 0.531033i | −0.977615 | − | 0.210404i | \(-0.932522\pi\) |
0.671023 | + | 0.741437i | \(0.265855\pi\) | |||||||
\(608\) | 2.96741 | + | 28.2330i | 0.120344 | + | 1.14500i | ||||
\(609\) | −4.54109 | + | 1.93961i | −0.184014 | + | 0.0785969i | ||||
\(610\) | −7.81012 | − | 11.6688i | −0.316222 | − | 0.472454i | ||||
\(611\) | −2.48225 | + | 7.63958i | −0.100421 | + | 0.309064i | ||||
\(612\) | −2.59647 | + | 4.19699i | −0.104956 | + | 0.169653i | ||||
\(613\) | −0.267857 | − | 0.824379i | −0.0108186 | − | 0.0332963i | 0.945501 | − | 0.325618i | \(-0.105572\pi\) |
−0.956320 | + | 0.292321i | \(0.905572\pi\) | |||||||
\(614\) | 32.8776 | − | 6.98834i | 1.32683 | − | 0.282026i | ||||
\(615\) | −1.12922 | + | 21.0106i | −0.0455345 | + | 0.847231i | ||||
\(616\) | 12.6661 | + | 2.69226i | 0.510331 | + | 0.108474i | ||||
\(617\) | −2.07726 | − | 19.7638i | −0.0836272 | − | 0.795660i | −0.953299 | − | 0.302029i | \(-0.902336\pi\) |
0.869671 | − | 0.493631i | \(-0.164331\pi\) | |||||||
\(618\) | −2.00076 | + | 1.40764i | −0.0804823 | + | 0.0566237i | ||||
\(619\) | 16.3619 | + | 7.28480i | 0.657641 | + | 0.292801i | 0.708296 | − | 0.705915i | \(-0.249464\pi\) |
−0.0506549 | + | 0.998716i | \(0.516131\pi\) | |||||||
\(620\) | 8.51980 | − | 7.09720i | 0.342163 | − | 0.285030i | ||||
\(621\) | −0.353276 | − | 0.430309i | −0.0141765 | − | 0.0172677i | ||||
\(622\) | 24.0548 | + | 17.4768i | 0.964510 | + | 0.700757i | ||||
\(623\) | 10.2552 | − | 2.17980i | 0.410864 | − | 0.0873319i | ||||
\(624\) | 4.75680 | − | 3.34667i | 0.190424 | − | 0.133974i | ||||
\(625\) | 19.3790 | − | 15.7941i | 0.775160 | − | 0.631765i | ||||
\(626\) | 15.2615 | − | 26.4337i | 0.609973 | − | 1.05650i | ||||
\(627\) | −36.8842 | + | 39.7317i | −1.47301 | + | 1.58673i | ||||
\(628\) | 0.00682556 | − | 0.0649409i | 0.000272370 | − | 0.00259142i | ||||
\(629\) | 4.97615 | + | 3.61538i | 0.198412 | + | 0.144155i | ||||
\(630\) | 9.94695 | − | 11.8762i | 0.396296 | − | 0.473160i | ||||
\(631\) | −27.5034 | + | 19.9824i | −1.09489 | + | 0.795487i | −0.980219 | − | 0.197916i | \(-0.936583\pi\) |
−0.114675 | + | 0.993403i | \(0.536583\pi\) | |||||||
\(632\) | 9.20786 | + | 15.9485i | 0.366269 | + | 0.634396i | ||||
\(633\) | −4.89154 | − | 5.60166i | −0.194421 | − | 0.222646i | ||||
\(634\) | 5.16248 | + | 1.09732i | 0.205028 | + | 0.0435801i | ||||
\(635\) | −49.1056 | − | 7.08050i | −1.94870 | − | 0.280981i | ||||
\(636\) | −1.72202 | − | 0.393495i | −0.0682826 | − | 0.0156031i | ||||
\(637\) | −2.30455 | + | 2.55946i | −0.0913097 | + | 0.101410i | ||||
\(638\) | −4.79979 | − | 14.7722i | −0.190025 | − | 0.584838i | ||||
\(639\) | −32.1383 | − | 24.8779i | −1.27137 | − | 0.984154i | ||||
\(640\) | −29.6529 | + | 1.96701i | −1.17213 | + | 0.0777527i | ||||
\(641\) | −8.52288 | + | 9.46562i | −0.336634 | + | 0.373870i | −0.887566 | − | 0.460680i | \(-0.847606\pi\) |
0.550932 | + | 0.834550i | \(0.314272\pi\) | |||||||
\(642\) | 53.9274 | − | 10.6080i | 2.12835 | − | 0.418664i | ||||
\(643\) | 9.31365 | − | 16.1317i | 0.367295 | − | 0.636173i | −0.621847 | − | 0.783139i | \(-0.713617\pi\) |
0.989142 | + | 0.146966i | \(0.0469507\pi\) | |||||||
\(644\) | −0.0119243 | − | 0.113453i | −0.000469885 | − | 0.00447066i | ||||
\(645\) | −3.69417 | + | 2.98333i | −0.145458 | + | 0.117469i | ||||
\(646\) | −2.56733 | + | 24.4265i | −0.101010 | + | 0.961047i | ||||
\(647\) | −2.58476 | − | 1.87794i | −0.101617 | − | 0.0738294i | 0.535816 | − | 0.844335i | \(-0.320004\pi\) |
−0.637434 | + | 0.770505i | \(0.720004\pi\) | |||||||
\(648\) | −15.5670 | + | 9.92256i | −0.611528 | + | 0.389795i | ||||
\(649\) | −7.87544 | −0.309138 | ||||||||
\(650\) | 5.32009 | − | 1.89338i | 0.208671 | − | 0.0742643i | ||||
\(651\) | −12.7173 | + | 8.94731i | −0.498430 | + | 0.350673i | ||||
\(652\) | 6.33041 | + | 7.03063i | 0.247918 | + | 0.275341i | ||||
\(653\) | −4.61992 | + | 2.05692i | −0.180792 | + | 0.0804936i | −0.495136 | − | 0.868815i | \(-0.664882\pi\) |
0.314345 | + | 0.949309i | \(0.398215\pi\) | |||||||
\(654\) | 18.3809 | + | 32.9854i | 0.718751 | + | 1.28983i | ||||
\(655\) | 25.0057 | − | 7.07361i | 0.977055 | − | 0.276389i | ||||
\(656\) | 21.7371 | − | 15.7929i | 0.848691 | − | 0.616610i | ||||
\(657\) | −6.00419 | + | 16.7294i | −0.234246 | + | 0.652678i | ||||
\(658\) | 22.1034 | − | 16.0590i | 0.861679 | − | 0.626046i | ||||
\(659\) | 0.955484 | − | 1.06117i | 0.0372204 | − | 0.0413374i | −0.724247 | − | 0.689540i | \(-0.757813\pi\) |
0.761468 | + | 0.648203i | \(0.224479\pi\) | |||||||
\(660\) | 9.53736 | + | 9.56283i | 0.371241 | + | 0.372233i | ||||
\(661\) | −3.11002 | − | 3.45402i | −0.120966 | − | 0.134346i | 0.679620 | − | 0.733564i | \(-0.262145\pi\) |
−0.800586 | + | 0.599219i | \(0.795478\pi\) | |||||||
\(662\) | −24.0122 | − | 5.10395i | −0.933261 | − | 0.198371i | ||||
\(663\) | 2.31994 | − | 0.990900i | 0.0900989 | − | 0.0384834i | ||||
\(664\) | −36.3852 | + | 7.73391i | −1.41202 | + | 0.300134i | ||||
\(665\) | 5.24360 | − | 20.7151i | 0.203338 | − | 0.803296i | ||||
\(666\) | −6.77408 | − | 12.6035i | −0.262490 | − | 0.488376i | ||||
\(667\) | 0.178005 | − | 0.129328i | 0.00689238 | − | 0.00500761i | ||||
\(668\) | 2.56797 | + | 4.44786i | 0.0993579 | + | 0.172093i | ||||
\(669\) | −27.5453 | + | 5.41838i | −1.06496 | + | 0.209487i | ||||
\(670\) | 46.7784 | − | 24.6583i | 1.80721 | − | 0.952635i | ||||
\(671\) | −15.6821 | + | 6.98212i | −0.605401 | + | 0.269542i | ||||
\(672\) | −9.91628 | − | 0.150848i | −0.382529 | − | 0.00581907i | ||||
\(673\) | −18.4133 | + | 3.91386i | −0.709780 | + | 0.150868i | −0.548634 | − | 0.836062i | \(-0.684852\pi\) |
−0.161145 | + | 0.986931i | \(0.551519\pi\) | |||||||
\(674\) | 20.2908 | 0.781572 | ||||||||
\(675\) | −24.8488 | + | 7.58549i | −0.956429 | + | 0.291965i | ||||
\(676\) | −9.61597 | −0.369845 | ||||||||
\(677\) | 9.69731 | − | 2.06123i | 0.372698 | − | 0.0792194i | −0.0177547 | − | 0.999842i | \(-0.505652\pi\) |
0.390453 | + | 0.920623i | \(0.372318\pi\) | |||||||
\(678\) | 20.0588 | + | 0.305137i | 0.770354 | + | 0.0117187i | ||||
\(679\) | −13.7885 | + | 6.13906i | −0.529156 | + | 0.235595i | ||||
\(680\) | −9.73802 | − | 1.40412i | −0.373436 | − | 0.0538454i | ||||
\(681\) | −15.6558 | + | 3.07962i | −0.599930 | + | 0.118011i | ||||
\(682\) | −24.4554 | − | 42.3580i | −0.936445 | − | 1.62197i | ||||
\(683\) | 21.4995 | − | 15.6203i | 0.822655 | − | 0.597694i | −0.0948166 | − | 0.995495i | \(-0.530226\pi\) |
0.917472 | + | 0.397801i | \(0.130226\pi\) | |||||||
\(684\) | 8.33153 | − | 13.4673i | 0.318564 | − | 0.514933i | ||||
\(685\) | 31.3379 | + | 19.7383i | 1.19736 | + | 0.754161i | ||||
\(686\) | 27.2703 | − | 5.79649i | 1.04119 | − | 0.221311i | ||||
\(687\) | −13.0689 | + | 5.58205i | −0.498611 | + | 0.212968i | ||||
\(688\) | 5.93101 | + | 1.26068i | 0.226118 | + | 0.0480628i | ||||
\(689\) | 0.604171 | + | 0.671000i | 0.0230171 | + | 0.0255631i | ||||
\(690\) | −0.314196 | + | 0.614617i | −0.0119612 | + | 0.0233981i | ||||
\(691\) | −22.2009 | + | 24.6566i | −0.844563 | + | 0.937982i | −0.998746 | − | 0.0500602i | \(-0.984059\pi\) |
0.154183 | + | 0.988042i | \(0.450725\pi\) | |||||||
\(692\) | −7.13452 | + | 5.18353i | −0.271214 | + | 0.197048i | ||||
\(693\) | −12.2388 | − | 14.4535i | −0.464913 | − | 0.549042i | ||||
\(694\) | 29.2539 | − | 21.2542i | 1.11046 | − | 0.806799i | ||||
\(695\) | −23.2754 | + | 29.5726i | −0.882886 | + | 1.12175i | ||||
\(696\) | −3.55124 | − | 6.37286i | −0.134609 | − | 0.241563i | ||||
\(697\) | 10.6465 | − | 4.74011i | 0.403263 | − | 0.179544i | ||||
\(698\) | 12.3447 | + | 13.7102i | 0.467253 | + | 0.518938i | ||||
\(699\) | −11.7354 | + | 8.25650i | −0.443874 | + | 0.312290i | ||||
\(700\) | −5.10659 | − | 1.50390i | −0.193011 | − | 0.0568419i | ||||
\(701\) | 26.1441 | 0.987451 | 0.493725 | − | 0.869618i | \(-0.335635\pi\) | ||||
0.493725 | + | 0.869618i | \(0.335635\pi\) | |||||||
\(702\) | −5.86239 | − | 0.267703i | −0.221261 | − | 0.0101038i | ||||
\(703\) | −15.9674 | − | 11.6010i | −0.602223 | − | 0.437540i | ||||
\(704\) | −1.44069 | + | 13.7073i | −0.0542981 | + | 0.516612i | ||||
\(705\) | −45.7608 | + | 2.33703i | −1.72345 | + | 0.0880178i | ||||
\(706\) | 0.881738 | + | 8.38918i | 0.0331846 | + | 0.315731i | ||||
\(707\) | 8.47791 | − | 14.6842i | 0.318845 | − | 0.552255i | ||||
\(708\) | 2.25722 | − | 0.444015i | 0.0848316 | − | 0.0166871i | ||||
\(709\) | 26.7119 | − | 29.6666i | 1.00319 | − | 1.11415i | 0.00973033 | − | 0.999953i | \(-0.496903\pi\) |
0.993458 | − | 0.114201i | \(-0.0364306\pi\) | |||||||
\(710\) | −12.3649 | + | 48.8483i | −0.464048 | + | 1.83324i | ||||
\(711\) | 3.62892 | − | 26.6890i | 0.136095 | − | 1.00092i | ||||
\(712\) | 4.78661 | + | 14.7317i | 0.179386 | + | 0.552093i | ||||
\(713\) | 0.463608 | − | 0.514888i | 0.0173622 | − | 0.0192827i | ||||
\(714\) | −8.36470 | − | 1.91140i | −0.313041 | − | 0.0715322i | ||||
\(715\) | −1.17449 | − | 6.80306i | −0.0439236 | − | 0.254420i | ||||
\(716\) | −3.68398 | − | 0.783055i | −0.137677 | − | 0.0292641i | ||||
\(717\) | 1.22946 | + | 1.40794i | 0.0459149 | + | 0.0525805i | ||||
\(718\) | −25.4766 | − | 44.1267i | −0.950777 | − | 1.64679i | ||||
\(719\) | 32.4317 | − | 23.5630i | 1.20950 | − | 0.878751i | 0.214312 | − | 0.976765i | \(-0.431249\pi\) |
0.995185 | + | 0.0980142i | \(0.0312491\pi\) | |||||||
\(720\) | 27.5214 | + | 18.5270i | 1.02566 | + | 0.690462i | ||||
\(721\) | −0.953688 | − | 0.692895i | −0.0355172 | − | 0.0258048i | ||||
\(722\) | 4.93444 | − | 46.9481i | 0.183641 | − | 1.74723i | ||||
\(723\) | −29.5739 | + | 31.8570i | −1.09986 | + | 1.18477i | ||||
\(724\) | −0.801787 | + | 1.38874i | −0.0297982 | + | 0.0516120i | ||||
\(725\) | −2.41263 | − | 9.98006i | −0.0896029 | − | 0.370650i | ||||
\(726\) | 22.8031 | − | 16.0432i | 0.846301 | − | 0.595419i | ||||
\(727\) | 34.5304 | − | 7.33967i | 1.28066 | − | 0.272213i | 0.483162 | − | 0.875531i | \(-0.339488\pi\) |
0.797501 | + | 0.603318i | \(0.206155\pi\) | |||||||
\(728\) | 1.56422 | + | 1.13647i | 0.0579738 | + | 0.0421204i | ||||
\(729\) | 26.8876 | + | 2.46075i | 0.995838 | + | 0.0911390i | ||||
\(730\) | 21.9886 | − | 1.45860i | 0.813835 | − | 0.0539852i | ||||
\(731\) | 2.40262 | + | 1.06972i | 0.0888641 | + | 0.0395649i | ||||
\(732\) | 4.10108 | − | 2.88534i | 0.151580 | − | 0.106645i | ||||
\(733\) | −0.702668 | − | 6.68544i | −0.0259536 | − | 0.246932i | −0.999805 | − | 0.0197463i | \(-0.993714\pi\) |
0.973851 | − | 0.227186i | \(-0.0729525\pi\) | |||||||
\(734\) | −25.9980 | − | 5.52604i | −0.959603 | − | 0.203970i | ||||
\(735\) | −18.3316 | − | 7.06491i | −0.676172 | − | 0.260593i | ||||
\(736\) | 0.432244 | − | 0.0918764i | 0.0159327 | − | 0.00338661i | ||||
\(737\) | −19.9773 | − | 61.4839i | −0.735874 | − | 2.26479i | ||||
\(738\) | −27.0979 | − | 0.824624i | −0.997488 | − | 0.0303548i | ||||
\(739\) | −3.30815 | + | 10.1814i | −0.121692 | + | 0.374530i | −0.993284 | − | 0.115702i | \(-0.963088\pi\) |
0.871592 | + | 0.490233i | \(0.163088\pi\) | |||||||
\(740\) | −3.04102 | + | 3.86376i | −0.111790 | + | 0.142035i | ||||
\(741\) | −7.44419 | + | 3.17959i | −0.273469 | + | 0.116805i | ||||
\(742\) | −0.321012 | − | 3.05423i | −0.0117847 | − | 0.112124i | ||||
\(743\) | −10.6028 | + | 18.3647i | −0.388981 | + | 0.673735i | −0.992313 | − | 0.123756i | \(-0.960506\pi\) |
0.603332 | + | 0.797490i | \(0.293839\pi\) | |||||||
\(744\) | −15.1106 | − | 17.3043i | −0.553982 | − | 0.634405i | ||||
\(745\) | 33.4912 | + | 12.3256i | 1.22702 | + | 0.451575i | ||||
\(746\) | 15.1586 | + | 11.0133i | 0.554995 | + | 0.403227i | ||||
\(747\) | 49.0058 | + | 23.6303i | 1.79303 | + | 0.864586i | ||||
\(748\) | 2.31161 | − | 7.11441i | 0.0845209 | − | 0.260129i | ||||
\(749\) | 13.2422 | + | 22.9361i | 0.483858 | + | 0.838067i | ||||
\(750\) | 20.9256 | + | 24.4888i | 0.764096 | + | 0.894204i | ||||
\(751\) | −24.6961 | + | 42.7750i | −0.901175 | + | 1.56088i | −0.0752042 | + | 0.997168i | \(0.523961\pi\) |
−0.825971 | + | 0.563713i | \(0.809372\pi\) | |||||||
\(752\) | 39.1515 | + | 43.4822i | 1.42771 | + | 1.58563i | ||||
\(753\) | −40.1616 | − | 0.610943i | −1.46357 | − | 0.0222640i | ||||
\(754\) | 0.242424 | − | 2.30651i | 0.00882857 | − | 0.0839982i | ||||
\(755\) | −14.4581 | + | 12.0439i | −0.526184 | + | 0.438324i | ||||
\(756\) | 4.32271 | + | 3.45257i | 0.157215 | + | 0.125569i | ||||
\(757\) | −31.2549 | −1.13598 | −0.567989 | − | 0.823036i | \(-0.692279\pi\) | ||||
−0.567989 | + | 0.823036i | \(0.692279\pi\) | |||||||
\(758\) | −33.6210 | − | 14.9690i | −1.22117 | − | 0.543700i | ||||
\(759\) | 0.675098 | + | 0.506353i | 0.0245045 | + | 0.0183795i | ||||
\(760\) | 31.2473 | + | 4.50552i | 1.13346 | + | 0.163432i | ||||
\(761\) | −19.3977 | − | 21.5434i | −0.703168 | − | 0.780947i | 0.280709 | − | 0.959793i | \(-0.409430\pi\) |
−0.983877 | + | 0.178846i | \(0.942764\pi\) | |||||||
\(762\) | 7.64820 | − | 63.4658i | 0.277065 | − | 2.29912i | ||||
\(763\) | −12.1756 | + | 13.5224i | −0.440786 | + | 0.489543i | ||||
\(764\) | 2.43370 | − | 7.49016i | 0.0880482 | − | 0.270985i | ||||
\(765\) | 10.0055 | + | 10.3422i | 0.361751 | + | 0.373924i | ||||
\(766\) | −3.25185 | − | 10.0082i | −0.117494 | − | 0.361610i | ||||
\(767\) | −1.07425 | − | 0.478289i | −0.0387891 | − | 0.0172700i | ||||
\(768\) | −2.48420 | − | 27.6796i | −0.0896409 | − | 0.998800i | ||||
\(769\) | −3.56272 | − | 33.8970i | −0.128475 | − | 1.22236i | −0.848797 | − | 0.528719i | \(-0.822673\pi\) |
0.720322 | − | 0.693640i | \(-0.243994\pi\) | |||||||
\(770\) | −10.3689 | + | 21.0678i | −0.373668 | + | 0.759230i | ||||
\(771\) | −18.5291 | + | 30.9948i | −0.667309 | + | 1.11625i | ||||
\(772\) | 0.140974 | − | 1.34128i | 0.00507377 | − | 0.0482737i | ||||
\(773\) | −9.44334 | + | 29.0636i | −0.339653 | + | 1.04535i | 0.624731 | + | 0.780840i | \(0.285209\pi\) |
−0.964384 | + | 0.264506i | \(0.914791\pi\) | |||||||
\(774\) | −3.95362 | − | 4.66906i | −0.142110 | − | 0.167826i | ||||
\(775\) | −13.9652 | − | 29.1604i | −0.501645 | − | 1.04747i | ||||
\(776\) | −11.1498 | − | 19.3120i | −0.400253 | − | 0.693259i | ||||
\(777\) | 4.69105 | − | 5.05320i | 0.168290 | − | 0.181283i | ||||
\(778\) | −50.2688 | + | 22.3811i | −1.80223 | + | 0.802402i | ||||
\(779\) | −34.1622 | + | 15.2100i | −1.22399 | + | 0.544955i | ||||
\(780\) | 0.720183 | + | 1.88364i | 0.0257867 | + | 0.0674453i | ||||
\(781\) | 56.2771 | + | 25.0562i | 2.01375 | + | 0.896581i | ||||
\(782\) | 0.382321 | 0.0136718 | ||||||||
\(783\) | −1.59828 | + | 10.5500i | −0.0571177 | + | 0.377025i | ||||
\(784\) | 7.75234 | + | 23.8592i | 0.276869 | + | 0.852116i | ||||
\(785\) | −0.178680 | − | 0.0657588i | −0.00637736 | − | 0.00234703i | ||||
\(786\) | 9.86132 | + | 31.9981i | 0.351742 | + | 1.14134i | ||||
\(787\) | 22.4498 | + | 4.77185i | 0.800249 | + | 0.170098i | 0.589845 | − | 0.807517i | \(-0.299189\pi\) |
0.210404 | + | 0.977615i | \(0.432522\pi\) | |||||||
\(788\) | 1.18861 | + | 0.252647i | 0.0423425 | + | 0.00900017i | ||||
\(789\) | −10.6900 | + | 11.5153i | −0.380574 | + | 0.409955i | ||||
\(790\) | −32.1332 | + | 9.08982i | −1.14325 | + | 0.323401i | ||||
\(791\) | 2.98726 | + | 9.19384i | 0.106215 | + | 0.326895i | ||||
\(792\) | 19.3470 | − | 20.2150i | 0.687465 | − | 0.718310i | ||||
\(793\) | −2.56316 | −0.0910205 | ||||||||
\(794\) | 43.0398 | + | 19.1626i | 1.52743 | + | 0.680054i | ||||
\(795\) | −2.34437 | + | 4.58597i | −0.0831464 | + | 0.162647i | ||||
\(796\) | −3.38929 | + | 1.50901i | −0.120130 | + | 0.0534854i | ||||
\(797\) | 39.7228 | − | 17.6857i | 1.40705 | − | 0.626461i | 0.444063 | − | 0.895996i | \(-0.353537\pi\) |
0.962991 | + | 0.269535i | \(0.0868699\pi\) | |||||||
\(798\) | 26.8406 | + | 6.13327i | 0.950145 | + | 0.217115i | ||||
\(799\) | 12.6893 | + | 21.9786i | 0.448916 | + | 0.777545i | ||||
\(800\) | 3.72601 | − | 20.2819i | 0.131734 | − | 0.717075i | ||||
\(801\) | 7.65298 | − | 21.3235i | 0.270405 | − | 0.753427i | ||||
\(802\) | −5.12593 | + | 15.7760i | −0.181003 | + | 0.557070i | ||||
\(803\) | 2.81613 | − | 26.7937i | 0.0993790 | − | 0.945528i | ||||
\(804\) | 9.19225 | + | 16.4959i | 0.324186 | + | 0.581766i | ||||
\(805\) | −0.329220 | − | 0.0474700i | −0.0116035 | − | 0.00167310i | ||||
\(806\) | −0.763381 | − | 7.26308i | −0.0268889 | − | 0.255831i | ||||
\(807\) | 21.0127 | − | 14.7836i | 0.739684 | − | 0.520408i | ||||
\(808\) | 22.8853 | + | 10.1892i | 0.805102 | + | 0.358455i | ||||
\(809\) | −8.36599 | − | 25.7479i | −0.294133 | − | 0.905247i | −0.983511 | − | 0.180846i | \(-0.942116\pi\) |
0.689379 | − | 0.724401i | \(-0.257884\pi\) | |||||||
\(810\) | −10.5160 | − | 31.7805i | −0.369493 | − | 1.11665i | ||||
\(811\) | −11.3390 | + | 34.8979i | −0.398167 | + | 1.22543i | 0.528300 | + | 0.849058i | \(0.322829\pi\) |
−0.926468 | + | 0.376375i | \(0.877171\pi\) | |||||||
\(812\) | −1.46295 | + | 1.62477i | −0.0513395 | + | 0.0570182i | ||||
\(813\) | 10.8710 | + | 8.15373i | 0.381263 | + | 0.285964i | ||||
\(814\) | 14.5122 | + | 16.1175i | 0.508654 | + | 0.564918i | ||||
\(815\) | 24.4024 | − | 12.8633i | 0.854779 | − | 0.450581i | ||||
\(816\) | 2.19851 | − | 18.2435i | 0.0769632 | − | 0.638651i | ||||
\(817\) | −7.70951 | − | 3.43249i | −0.269721 | − | 0.120088i | ||||
\(818\) | 16.0697 | 0.561865 | ||||||||
\(819\) | −0.791654 | − | 2.71482i | −0.0276626 | − | 0.0948634i | ||||
\(820\) | 3.45897 | + | 8.65018i | 0.120793 | + | 0.302078i | ||||
\(821\) | −0.158330 | + | 1.50641i | −0.00552576 | + | 0.0525741i | −0.996937 | − | 0.0782049i | \(-0.975081\pi\) |
0.991412 | + | 0.130779i | \(0.0417478\pi\) | |||||||
\(822\) | −24.4855 | + | 40.9586i | −0.854031 | + | 1.42859i | ||||
\(823\) | −24.3576 | − | 27.0519i | −0.849053 | − | 0.942969i | 0.149900 | − | 0.988701i | \(-0.452105\pi\) |
−0.998954 | + | 0.0457319i | \(0.985438\pi\) | |||||||
\(824\) | 0.870816 | − | 1.50830i | 0.0303363 | − | 0.0525440i | ||||
\(825\) | 33.8546 | − | 20.1163i | 1.17867 | − | 0.700361i | ||||
\(826\) | 1.99979 | + | 3.46374i | 0.0695816 | + | 0.120519i | ||||
\(827\) | −0.131104 | + | 0.403496i | −0.00455892 | + | 0.0140309i | −0.953310 | − | 0.301993i | \(-0.902348\pi\) |
0.948751 | + | 0.316024i | \(0.102348\pi\) | |||||||
\(828\) | −0.222042 | − | 0.107067i | −0.00771648 | − | 0.00372083i | ||||
\(829\) | −15.0808 | − | 10.9568i | −0.523778 | − | 0.380547i | 0.294247 | − | 0.955729i | \(-0.404931\pi\) |
−0.818025 | + | 0.575182i | \(0.804931\pi\) | |||||||
\(830\) | 2.59512 | − | 67.4032i | 0.0900780 | − | 2.33960i | ||||
\(831\) | 37.8087 | − | 7.43728i | 1.31157 | − | 0.257997i | ||||
\(832\) | −1.02898 | + | 1.78225i | −0.0356736 | + | 0.0617885i | ||||
\(833\) | 1.13741 | + | 10.8217i | 0.0394088 | + | 0.374950i | ||||
\(834\) | −38.7906 | − | 29.0947i | −1.34321 | − | 1.00747i | ||||
\(835\) | 14.4098 | − | 4.07625i | 0.498673 | − | 0.141064i | ||||
\(836\) | −7.41748 | + | 22.8286i | −0.256539 | + | 0.789545i | ||||
\(837\) | 1.98419 | + | 33.5417i | 0.0685835 | + | 1.15937i | ||||
\(838\) | 6.49962 | + | 20.0038i | 0.224526 | + | 0.691019i | ||||
\(839\) | 28.4120 | − | 6.03916i | 0.980892 | − | 0.208495i | 0.310558 | − | 0.950554i | \(-0.399484\pi\) |
0.670334 | + | 0.742059i | \(0.266151\pi\) | |||||||
\(840\) | −2.86872 | + | 10.6494i | −0.0989803 | + | 0.367439i | ||||
\(841\) | 24.2415 | + | 5.15270i | 0.835915 | + | 0.177679i | ||||
\(842\) | −3.98670 | − | 37.9309i | −0.137391 | − | 1.30718i | ||||
\(843\) | 15.9603 | + | 7.39888i | 0.549702 | + | 0.254831i | ||||
\(844\) | −3.00805 | − | 1.33927i | −0.103541 | − | 0.0460996i | ||||
\(845\) | −6.88026 | + | 27.1808i | −0.236688 | + | 0.935047i | ||||
\(846\) | −4.38235 | − | 58.8750i | −0.150668 | − | 2.02416i | ||||
\(847\) | 10.8694 | + | 7.89708i | 0.373477 | + | 0.271347i | ||||
\(848\) | 6.43322 | − | 1.36742i | 0.220918 | − | 0.0469575i | ||||
\(849\) | −0.118102 | − | 1.31592i | −0.00405326 | − | 0.0451624i | ||||
\(850\) | 6.80151 | − | 16.4937i | 0.233290 | − | 0.565730i | ||||
\(851\) | −0.153613 | + | 0.266066i | −0.00526580 | + | 0.00912063i | ||||
\(852\) | −17.5426 | − | 4.00861i | −0.600998 | − | 0.137333i | ||||
\(853\) | −1.83844 | + | 17.4915i | −0.0629468 | + | 0.598899i | 0.916896 | + | 0.399127i | \(0.130687\pi\) |
−0.979842 | + | 0.199772i | \(0.935980\pi\) | |||||||
\(854\) | 7.05296 | + | 5.12428i | 0.241347 | + | 0.175349i | ||||
\(855\) | −32.1057 | − | 33.1860i | −1.09799 | − | 1.13494i | ||||
\(856\) | −31.6559 | + | 22.9993i | −1.08198 | + | 0.786101i | ||||
\(857\) | −4.22020 | − | 7.30960i | −0.144159 | − | 0.249691i | 0.784900 | − | 0.619623i | \(-0.212714\pi\) |
−0.929059 | + | 0.369932i | \(0.879381\pi\) | |||||||
\(858\) | 8.72788 | − | 1.71685i | 0.297965 | − | 0.0586122i | ||||
\(859\) | 33.0228 | + | 7.01920i | 1.12672 | + | 0.239492i | 0.733326 | − | 0.679877i | \(-0.237967\pi\) |
0.393396 | + | 0.919369i | \(0.371300\pi\) | |||||||
\(860\) | −0.928383 | + | 1.88632i | −0.0316576 | + | 0.0643229i | ||||
\(861\) | −3.84751 | − | 12.4845i | −0.131123 | − | 0.425469i | ||||
\(862\) | 14.6004 | − | 16.2154i | 0.497291 | − | 0.552298i | ||||
\(863\) | 12.9265 | + | 39.7837i | 0.440023 | + | 1.35425i | 0.887851 | + | 0.460132i | \(0.152198\pi\) |
−0.447828 | + | 0.894120i | \(0.647802\pi\) | |||||||
\(864\) | −11.5506 | + | 18.0511i | −0.392960 | + | 0.614111i | ||||
\(865\) | 9.54714 | + | 23.8755i | 0.324613 | + | 0.811790i | ||||
\(866\) | −26.2641 | + | 29.1693i | −0.892492 | + | 0.991213i | ||||
\(867\) | −6.94591 | + | 20.3203i | −0.235896 | + | 0.690114i | ||||
\(868\) | −3.44234 | + | 5.96231i | −0.116841 | + | 0.202374i | ||||
\(869\) | 4.26748 | + | 40.6024i | 0.144764 | + | 1.37734i | ||||
\(870\) | 12.7831 | − | 3.40696i | 0.433388 | − | 0.115507i | ||||
\(871\) | 1.00900 | − | 9.60000i | 0.0341887 | − | 0.325283i | ||||
\(872\) | −21.7493 | − | 15.8018i | −0.736523 | − | 0.535115i | ||||
\(873\) | −4.39425 | + | 32.3177i | −0.148723 | + | 1.09379i | ||||
\(874\) | −1.22679 | −0.0414967 | ||||||||
\(875\) | −7.90474 | + | 13.3584i | −0.267229 | + | 0.451596i | ||||
\(876\) | 0.703473 | + | 7.83826i | 0.0237681 | + | 0.264830i | ||||
\(877\) | −19.1882 | − | 21.3106i | −0.647938 | − | 0.719608i | 0.326266 | − | 0.945278i | \(-0.394210\pi\) |
−0.974204 | + | 0.225670i | \(0.927543\pi\) | |||||||
\(878\) | 12.3175 | − | 5.48408i | 0.415694 | − | 0.185079i | ||||
\(879\) | 5.85692 | − | 9.79724i | 0.197549 | − | 0.330453i | ||||
\(880\) | −47.1926 | − | 17.3681i | −1.59086 | − | 0.585477i | ||||
\(881\) | −11.7352 | + | 8.52611i | −0.395368 | + | 0.287252i | −0.767652 | − | 0.640867i | \(-0.778575\pi\) |
0.372283 | + | 0.928119i | \(0.378575\pi\) | |||||||
\(882\) | 8.55078 | − | 23.8250i | 0.287920 | − | 0.802229i | ||||
\(883\) | −42.8896 | + | 31.1611i | −1.44335 | + | 1.04865i | −0.456019 | + | 0.889970i | \(0.650725\pi\) |
−0.987329 | + | 0.158684i | \(0.949275\pi\) | |||||||
\(884\) | 0.747387 | − | 0.830057i | 0.0251373 | − | 0.0279178i | ||||
\(885\) | 0.359986 | − | 6.69802i | 0.0121008 | − | 0.225152i | ||||
\(886\) | −0.565995 | − | 0.628601i | −0.0190150 | − | 0.0211183i | ||||
\(887\) | 8.79953 | + | 1.87040i | 0.295459 | + | 0.0628018i | 0.353256 | − | 0.935527i | \(-0.385074\pi\) |
−0.0577971 | + | 0.998328i | \(0.518408\pi\) | |||||||
\(888\) | 8.14932 | + | 6.11235i | 0.273473 | + | 0.205117i | ||||
\(889\) | 30.1308 | − | 6.40449i | 1.01055 | − | 0.214800i | ||||
\(890\) | −28.0268 | + | 1.85914i | −0.939461 | + | 0.0623185i | ||||
\(891\) | −40.4741 | + | 6.05894i | −1.35593 | + | 0.202982i | ||||
\(892\) | −10.0558 | + | 7.30599i | −0.336694 | + | 0.244623i | ||||
\(893\) | −40.7174 | − | 70.5246i | −1.36256 | − | 2.36001i | ||||
\(894\) | −14.8726 | + | 43.5100i | −0.497415 | + | 1.45519i | ||||
\(895\) | −4.84931 | + | 9.85297i | −0.162094 | + | 0.329349i | ||||
\(896\) | 16.8561 | − | 7.50483i | 0.563123 | − | 0.250719i | ||||
\(897\) | 0.0613354 | + | 0.110069i | 0.00204793 | + | 0.00367510i | ||||
\(898\) | 11.7571 | − | 2.49905i | 0.392340 | − | 0.0833944i | ||||
\(899\) | −13.2788 | −0.442872 | ||||||||
\(900\) | −8.56910 | + | 7.67437i | −0.285637 | + | 0.255812i | ||||
\(901\) | 2.85269 | 0.0950369 | ||||||||
\(902\) | 40.1946 | − | 8.54362i | 1.33833 | − | 0.284471i | ||||
\(903\) | 1.51275 | − | 2.53047i | 0.0503411 | − | 0.0842089i | ||||
\(904\) | −13.0475 | + | 5.80914i | −0.433955 | + | 0.193209i | ||||
\(905\) | 3.35176 | + | 3.26000i | 0.111416 | + | 0.108366i | ||||
\(906\) | −15.9474 | − | 18.2625i | −0.529818 | − | 0.606733i | ||||
\(907\) | 13.0147 | + | 22.5421i | 0.432145 | + | 0.748498i | 0.997058 | − | 0.0766530i | \(-0.0244234\pi\) |
−0.564912 | + | 0.825151i | \(0.691090\pi\) | |||||||
\(908\) | −5.71538 | + | 4.15247i | −0.189672 | + | 0.137804i | ||||
\(909\) | −17.3461 | − | 32.2732i | −0.575333 | − | 1.07044i | ||||
\(910\) | −2.69385 | + | 2.24404i | −0.0893003 | + | 0.0743893i | ||||
\(911\) | −3.92226 | + | 0.833703i | −0.129950 | + | 0.0276218i | −0.272428 | − | 0.962176i | \(-0.587827\pi\) |
0.142477 | + | 0.989798i | \(0.454493\pi\) | |||||||
\(912\) | −7.05455 | + | 58.5396i | −0.233600 | + | 1.93844i | ||||
\(913\) | −80.6628 | − | 17.1454i | −2.66955 | − | 0.567430i | ||||
\(914\) | −17.6760 | − | 19.6312i | −0.584670 | − | 0.649342i | ||||
\(915\) | −5.22143 | − | 13.6567i | −0.172615 | − | 0.451477i | ||||
\(916\) | −4.21026 | + | 4.67597i | −0.139111 | + | 0.154498i | ||||
\(917\) | −13.0533 | + | 9.48377i | −0.431058 | + | 0.313182i | ||||
\(918\) | −13.0220 | + | 13.1983i | −0.429788 | + | 0.435610i | ||||
\(919\) | 0.331871 | − | 0.241118i | 0.0109474 | − | 0.00795375i | −0.582298 | − | 0.812975i | \(-0.697846\pi\) |
0.593245 | + | 0.805022i | \(0.297846\pi\) | |||||||
\(920\) | 0.0189068 | − | 0.491067i | 0.000623339 | − | 0.0161900i | ||||
\(921\) | 34.9953 | + | 0.532353i | 1.15314 | + | 0.0175416i | ||||
\(922\) | −50.1567 | + | 22.3312i | −1.65182 | + | 0.735439i | ||||
\(923\) | 6.15481 | + | 6.83561i | 0.202588 | + | 0.224997i | ||||
\(924\) | −7.60779 | − | 3.52682i | −0.250278 | − | 0.116024i | ||||
\(925\) | 8.74557 | + | 11.3604i | 0.287552 | + | 0.373526i | ||||
\(926\) | −30.6303 | −1.00657 | ||||||||
\(927\) | −2.35750 | + | 0.964814i | −0.0774306 | + | 0.0316887i | ||||
\(928\) | −6.85175 | − | 4.97808i | −0.224920 | − | 0.163414i | ||||
\(929\) | 0.704207 | − | 6.70008i | 0.0231043 | − | 0.219822i | −0.976878 | − | 0.213799i | \(-0.931416\pi\) |
0.999982 | − | 0.00602306i | \(-0.00191721\pi\) | |||||||
\(930\) | 37.1431 | − | 18.8630i | 1.21797 | − | 0.618543i | ||||
\(931\) | −3.64970 | − | 34.7246i | −0.119614 | − | 1.13805i | ||||
\(932\) | −3.17656 | + | 5.50196i | −0.104052 | + | 0.180223i | ||||
\(933\) | 20.3643 | + | 23.3206i | 0.666698 | + | 0.763484i | ||||
\(934\) | −20.5261 | + | 22.7966i | −0.671635 | + | 0.745926i | ||||
\(935\) | −18.4558 | − | 11.6244i | −0.603570 | − | 0.380160i | ||||
\(936\) | 3.86673 | − | 1.58247i | 0.126388 | − | 0.0517246i | ||||
\(937\) | −13.0786 | − | 40.2519i | −0.427260 | − | 1.31497i | −0.900814 | − | 0.434206i | \(-0.857029\pi\) |
0.473554 | − | 0.880765i | \(-0.342971\pi\) | |||||||
\(938\) | −21.9688 | + | 24.3988i | −0.717305 | + | 0.796648i | ||||
\(939\) | 21.6237 | − | 23.2931i | 0.705662 | − | 0.760141i | ||||
\(940\) | −17.9468 | + | 9.46030i | −0.585359 | + | 0.308561i | ||||
\(941\) | −51.2834 | − | 10.9006i | −1.67179 | − | 0.355350i | −0.727919 | − | 0.685663i | \(-0.759512\pi\) |
−0.943871 | + | 0.330314i | \(0.892846\pi\) | |||||||
\(942\) | 0.0793475 | − | 0.232131i | 0.00258528 | − | 0.00756325i | ||||
\(943\) | 0.291050 | + | 0.504114i | 0.00947790 | + | 0.0164162i | ||||
\(944\) | −6.92961 | + | 5.03466i | −0.225540 | + | 0.163864i | ||||
\(945\) | 12.8521 | − | 9.74836i | 0.418077 | − | 0.317114i | ||||
\(946\) | 7.50241 | + | 5.45082i | 0.243924 | + | 0.177221i | ||||
\(947\) | −0.245164 | + | 2.33258i | −0.00796675 | + | 0.0757985i | −0.997783 | − | 0.0665533i | \(-0.978800\pi\) |
0.989816 | + | 0.142352i | \(0.0454664\pi\) | |||||||
\(948\) | −3.51227 | − | 11.3967i | −0.114073 | − | 0.370146i | ||||
\(949\) | 2.01136 | − | 3.48378i | 0.0652915 | − | 0.113088i | ||||
\(950\) | −21.8246 | + | 52.9249i | −0.708084 | + | 1.71711i | ||||
\(951\) | 4.98595 | + | 2.31139i | 0.161681 | + | 0.0749519i | ||||
\(952\) | 5.97517 | − | 1.27006i | 0.193656 | − | 0.0411629i | ||||
\(953\) | −7.72986 | − | 5.61607i | −0.250395 | − | 0.181922i | 0.455507 | − | 0.890232i | \(-0.349458\pi\) |
−0.705902 | + | 0.708310i | \(0.749458\pi\) | |||||||
\(954\) | −5.97752 | − | 2.88232i | −0.193530 | − | 0.0933186i | ||||
\(955\) | −19.4306 | − | 12.2384i | −0.628759 | − | 0.396026i | ||||
\(956\) | 0.756054 | + | 0.336617i | 0.0244525 | + | 0.0108870i | ||||
\(957\) | −1.44574 | − | 16.1088i | −0.0467341 | − | 0.520723i | ||||
\(958\) | −4.01328 | − | 38.1839i | −0.129663 | − | 1.23366i | ||||
\(959\) | −22.4924 | − | 4.78090i | −0.726316 | − | 0.154383i | ||||
\(960\) | −11.5921 | − | 1.85186i | −0.374134 | − | 0.0597686i | ||||
\(961\) | −10.5779 | + | 2.24839i | −0.341221 | + | 0.0725288i | ||||
\(962\) | 1.00071 | + | 3.07987i | 0.0322642 | + | 0.0992989i | ||||
\(963\) | 57.2028 | + | 1.74076i | 1.84334 | + | 0.0560951i | ||||
\(964\) | −5.94735 | + | 18.3041i | −0.191551 | + | 0.589534i | ||||
\(965\) | −3.69043 | − | 1.35817i | −0.118799 | − | 0.0437211i | ||||
\(966\) | 0.0512760 | − | 0.425495i | 0.00164978 | − | 0.0136901i | ||||
\(967\) | −2.15909 | − | 20.5424i | −0.0694318 | − | 0.660599i | −0.972786 | − | 0.231705i | \(-0.925570\pi\) |
0.903354 | − | 0.428895i | \(-0.141097\pi\) | |||||||
\(968\) | −9.92488 | + | 17.1904i | −0.318998 | + | 0.552520i | ||||
\(969\) | −8.27208 | + | 24.2000i | −0.265738 | + | 0.777417i | ||||
\(970\) | 38.9100 | − | 11.0068i | 1.24932 | − | 0.353408i | ||||
\(971\) | 24.5224 | + | 17.8166i | 0.786962 | + | 0.571761i | 0.907060 | − | 0.421001i | \(-0.138321\pi\) |
−0.120098 | + | 0.992762i | \(0.538321\pi\) | |||||||
\(972\) | 11.2589 | − | 4.01850i | 0.361130 | − | 0.128894i | ||||
\(973\) | 7.22044 | − | 22.2222i | 0.231477 | − | 0.712412i | ||||
\(974\) | −9.49335 | − | 16.4430i | −0.304186 | − | 0.526866i | ||||
\(975\) | 5.83965 | − | 0.687935i | 0.187019 | − | 0.0220316i | ||||
\(976\) | −9.33514 | + | 16.1689i | −0.298810 | + | 0.517555i | ||||
\(977\) | −15.7527 | − | 17.4951i | −0.503973 | − | 0.559719i | 0.436448 | − | 0.899729i | \(-0.356236\pi\) |
−0.940422 | + | 0.340010i | \(0.889570\pi\) | |||||||
\(978\) | 17.3010 | + | 31.0474i | 0.553224 | + | 0.992786i | ||||
\(979\) | −3.58946 | + | 34.1514i | −0.114719 | + | 1.09148i | ||||
\(980\) | −8.67937 | + | 0.575740i | −0.277252 | + | 0.0183913i | ||||
\(981\) | 11.0073 | + | 37.7474i | 0.351437 | + | 1.20518i | ||||
\(982\) | 66.1926 | 2.11229 | ||||||||
\(983\) | 17.6593 | + | 7.86243i | 0.563245 | + | 0.250773i | 0.668550 | − | 0.743667i | \(-0.266915\pi\) |
−0.105305 | + | 0.994440i | \(0.533582\pi\) | |||||||
\(984\) | 17.7497 | − | 7.58132i | 0.565840 | − | 0.241684i | ||||
\(985\) | 1.56459 | − | 3.17899i | 0.0498521 | − | 0.101291i | ||||
\(986\) | −4.90295 | − | 5.44528i | −0.156142 | − | 0.173413i | ||||
\(987\) | 26.1624 | − | 11.1746i | 0.832758 | − | 0.355691i | ||||
\(988\) | −2.39821 | + | 2.66348i | −0.0762971 | + | 0.0847365i | ||||
\(989\) | −0.0405939 | + | 0.124935i | −0.00129081 | + | 0.00397271i | ||||
\(990\) | 26.9271 | + | 43.0054i | 0.855800 | + | 1.36680i | ||||
\(991\) | −0.458610 | − | 1.41146i | −0.0145682 | − | 0.0448364i | 0.943508 | − | 0.331349i | \(-0.107504\pi\) |
−0.958076 | + | 0.286513i | \(0.907504\pi\) | |||||||
\(992\) | −24.3635 | − | 10.8473i | −0.773540 | − | 0.344402i | ||||
\(993\) | −23.1911 | − | 10.7509i | −0.735947 | − | 0.341171i | ||||
\(994\) | −3.27021 | − | 31.1140i | −0.103725 | − | 0.986876i | ||||
\(995\) | 1.84036 | + | 10.6600i | 0.0583433 | + | 0.337944i | ||||
\(996\) | 24.0859 | + | 0.366397i | 0.763189 | + | 0.0116097i | ||||
\(997\) | 1.65392 | − | 15.7360i | 0.0523803 | − | 0.498365i | −0.936609 | − | 0.350377i | \(-0.886053\pi\) |
0.988989 | − | 0.147988i | \(-0.0472798\pi\) | |||||||
\(998\) | 18.6267 | − | 57.3271i | 0.589619 | − | 1.81466i | ||||
\(999\) | −3.95292 | − | 14.3653i | −0.125065 | − | 0.454496i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 225.2.q.a.121.22 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.496.7 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.46.22 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.196.7 | yes | 224 | |
25.6 | even | 5 | inner | 225.2.q.a.31.7 | ✓ | 224 | |
75.56 | odd | 10 | 675.2.r.a.631.22 | 224 | |||
225.56 | odd | 30 | 675.2.r.a.181.7 | 224 | |||
225.106 | even | 15 | inner | 225.2.q.a.106.22 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.7 | ✓ | 224 | 25.6 | even | 5 | inner | |
225.2.q.a.106.22 | yes | 224 | 225.106 | even | 15 | inner | |
225.2.q.a.121.22 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.196.7 | yes | 224 | 9.7 | even | 3 | inner | |
675.2.r.a.46.22 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.181.7 | 224 | 225.56 | odd | 30 | |||
675.2.r.a.496.7 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.631.22 | 224 | 75.56 | odd | 10 |